457546752 has 352 divisors, whose sum is σ = 1558995200. Its totient is φ = 131383296.

The previous prime is 457546741. The next prime is 457546753. The reversal of 457546752 is 257645754.

457546752 is a `hidden beast` number, since 4 + 57 + 546 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 457546698 and 457546707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457546753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6829023 + ... + 6829089.

Almost surely, 2^457546752 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 457546752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779497600).

457546752 is an abundant number, since it is smaller than the sum of its proper divisors (1101448448).

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

457546752 is a wasteful number, since it uses less digits than its factorization.

457546752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

The product of its digits is 1176000, while the sum is 45.

The square root of 457546752 is about 21390.3424937517. The cubic root of 457546752 is about 770.5695185044.

The spelling of 457546752 in words is "four hundred fifty-seven million, five hundred forty-six thousand, seven hundred fifty-two".