457996032 has 180 divisors, whose sum is σ = 1471577800. Its totient is φ = 140838912.

The previous prime is 457996013. The next prime is 457996037. The reversal of 457996032 is 230699754.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457996037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 268719 + ... + 270417.

Almost surely, 2^457996032 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 457996032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735788900).

457996032 is an abundant number, since it is smaller than the sum of its proper divisors (1013581768).

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

457996032 is a wasteful number, since it uses less digits than its factorization.

457996032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 457996032 is about 21400.8418526001. The cubic root of 457996032 is about 770.8216517330.

The spelling of 457996032 in words is "four hundred fifty-seven million, nine hundred ninety-six thousand, thirty-two".