457096752 has 120 divisors (see below), whose sum is σ = 1475289504. Its totient is φ = 129411072.

The previous prime is 457096711. The next prime is 457096769. The reversal of 457096752 is 257690754.

457096752 is a `hidden beast` number, since 4 + 570 + 9 + 6 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 457096698 and 457096707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111898 + ... + 115910.

Almost surely, 2^457096752 is an apocalyptic number.

457096752 is a gapful number since it is divisible by the number (42) 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 457096752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737644752).

457096752 is an abundant number, since it is smaller than the sum of its proper divisors (1018192752).

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

457096752 is a wasteful number, since it uses less digits than its factorization.

457096752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4147 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 457096752 is about 21379.8211405054. The cubic root of 457096752 is about 770.3168157128.

The spelling of 457096752 in words is "four hundred fifty-seven million, ninety-six thousand, seven hundred fifty-two".