457780752 has 360 divisors, whose sum is σ = 1584815232. Its totient is φ = 122411520.

The previous prime is 457780723. The next prime is 457780759. The reversal of 457780752 is 257087754.

457780752 is a `hidden beast` number, since 4 + 577 + 8 + 0 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 457780698 and 457780707.

It is not an unprimeable number, because it can be changed into a prime (457780759) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9739993 + ... + 9740039.

Almost surely, 2^457780752 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 457780752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792407616).

457780752 is an abundant number, since it is smaller than the sum of its proper divisors (1127034480).

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

457780752 is a wasteful number, since it uses less digits than its factorization.

457780752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The square root of 457780752 is about 21395.8115527315. The cubic root of 457780752 is about 770.7008584796.

The spelling of 457780752 in words is "four hundred fifty-seven million, seven hundred eighty thousand, seven hundred fifty-two".