456074640 has 240 divisors, whose sum is σ = 1853774208. Its totient is φ = 98095104.

The previous prime is 456074629. The next prime is 456074681. The reversal of 456074640 is 46470654.

456074640 is a `hidden beast` number, since 4 + 5 + 6 + 0 + 7 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×456074640² = 416008154502259200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 456074595 and 456074604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83019 + ... + 88341.

Almost surely, 2^456074640 is an apocalyptic number.

456074640 is a gapful number since it is divisible by the number (40) 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 456074640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926887104).

456074640 is an abundant number, since it is smaller than the sum of its proper divisors (1397699568).

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

456074640 is a wasteful number, since it uses less digits than its factorization.

456074640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5366 (or 5357 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 456074640 is about 21355.9041016764. The cubic root of 456074640 is about 769.7422198888.

The spelling of 456074640 in words is "four hundred fifty-six million, seventy-four thousand, six hundred forty".