314496 has 128 divisors (see below), whose sum is σ = 1142400. Its totient is φ = 82944.

The previous prime is 314491. The next prime is 314497. The reversal of 314496 is 694413.

314496 = 6³ + 7³ + ... + 33³.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 314496 = 4³ + 68³ = 30³ + 66³.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314496.

It is not an unprimeable number, because it can be changed into a prime (314491) by changing a digit.

314496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24186 + ... + 24198.

It is an arithmetic number, because the mean of its divisors is an integer number (8925).

314496 is a Friedman number, since it can be written as 91*6^3*4*4, using all its digits and the basic arithmetic operations.

2³¹⁴⁴⁹⁶ is an apocalyptic number.

314496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571200).

314496 is an abundant number, since it is smaller than the sum of its proper divisors (827904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314496 is a wasteful number, since it uses less digits than its factorization.

314496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 25 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 314496 is about 560.7994293863. The cubic root of 314496 is about 68.0046132972.

It can be divided in two parts, 3144 and 96, that added together give a triangular number (3240 = T₈₀).

The spelling of 314496 in words is "three hundred fourteen thousand, four hundred ninety-six".