456276704 has 48 divisors (see below), whose sum is σ = 972577872. Its totient is φ = 209461248.

The previous prime is 456276701. The next prime is 456276707. The reversal of 456276704 is 407672654.

It is an interprime number because it is at equal distance from previous prime (456276701) and next prime (456276707).

It is a super-2 number, since 2×456276704² = 416376861226207232, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456276701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77447 + ... + 83129.

It is an arithmetic number, because the mean of its divisors is an integer number (20262039).

Almost surely, 2^456276704 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 456276704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486288936).

456276704 is an abundant number, since it is smaller than the sum of its proper divisors (516301168).

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

456276704 is a wasteful number, since it uses less digits than its factorization.

456276704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5899 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 41.

The square root of 456276704 is about 21360.6344475065. The cubic root of 456276704 is about 769.8558812750.

The spelling of 456276704 in words is "four hundred fifty-six million, two hundred seventy-six thousand, seven hundred four".