814464 has 96 divisors (see below), whose sum is σ = 2705040. Its totient is φ = 230400.

The previous prime is 814447. The next prime is 814469. The reversal of 814464 is 464418.

814464 = T₂₃₂ + T₂₃₃ + ... + T₂₅₈.

It is a tau number, because it is divible by the number of its divisors (96).

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

Its product of digits (3072) is a multiple of the sum of its prime factors (128).

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 814464.

It is not an unprimeable number, because it can be changed into a prime (814469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8014 + ... + 8114.

2⁸¹⁴⁴⁶⁴ is an apocalyptic number.

814464 is a gapful number since it is divisible by the number (84) 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 814464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352520).

814464 is an abundant number, since it is smaller than the sum of its proper divisors (1890576).

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

814464 is a wasteful number, since it uses less digits than its factorization.

814464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 814464 is about 902.4765924942. The cubic root of 814464 is about 93.3879045943.

The spelling of 814464 in words is "eight hundred fourteen thousand, four hundred sixty-four".