456404364 has 144 divisors (see below), whose sum is σ = 1311710400. Its totient is φ = 132751872.

The previous prime is 456404363. The next prime is 456404383. The reversal of 456404364 is 463404654.

456404364 is a `hidden beast` number, since 4 + 5 + 640 + 4 + 3 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (456404363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1173082 + ... + 1173470.

It is an arithmetic number, because the mean of its divisors is an integer number (9109100).

Almost surely, 2^456404364 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 456404364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655855200).

456404364 is an abundant number, since it is smaller than the sum of its proper divisors (855306036).

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

456404364 is a wasteful number, since it uses less digits than its factorization.

456404364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 456404364 is about 21363.6224456434. The cubic root of 456404364 is about 769.9276729726.

The spelling of 456404364 in words is "four hundred fifty-six million, four hundred four thousand, three hundred sixty-four".