457756416 has 432 divisors, whose sum is σ = 1607074560. Its totient is φ = 123863040.

The previous prime is 457756393. The next prime is 457756423. The reversal of 457756416 is 614657754.

457756416 is a `hidden beast` number, since 4 + 5 + 77 + 564 + 16 = 666.

Its product of digits (705600) is a multiple of the sum of its prime factors (112).

It is a congruent number.

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, 14766321 + ... + 14766351.

It is an arithmetic number, because the mean of its divisors is an integer number (3720080).

Almost surely, 2^457756416 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 457756416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803537280).

457756416 is an abundant number, since it is smaller than the sum of its proper divisors (1149318144).

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

457756416 is a wasteful number, since it uses less digits than its factorization.

457756416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 457756416 is about 21395.2428357334. The cubic root of 457756416 is about 770.6872012078.

The spelling of 457756416 in words is "four hundred fifty-seven million, seven hundred fifty-six thousand, four hundred sixteen".