314464 has 24 divisors (see below), whose sum is σ = 641088. Its totient is φ = 151680.

The previous prime is 314453. The next prime is 314467. The reversal of 314464 is 464413.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314467) by changing a digit.

314464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 834 + ... + 1150.

It is an arithmetic number, because the mean of its divisors is an integer number (26712).

2³¹⁴⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320544).

314464 is an abundant number, since it is smaller than the sum of its proper divisors (326624).

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

314464 is a wasteful number, since it uses less digits than its factorization.

314464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 350 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 314464 is about 560.7708979610. The cubic root of 314464 is about 68.0023067268.

Adding to 314464 its reverse (464413), we get a palindrome (778877).

It can be divided in two parts, 31 and 4464, that multiplied together give a square (138384 = 372²).

The spelling of 314464 in words is "three hundred fourteen thousand, four hundred sixty-four".