457521152 has 96 divisors (see below), whose sum is σ = 1042554240. Its totient is φ = 198696960.

The previous prime is 457521151. The next prime is 457521191. The reversal of 457521152 is 251125754.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457521151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 517703 + ... + 518585.

It is an arithmetic number, because the mean of its divisors is an integer number (10859940).

Almost surely, 2^457521152 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 457521152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521277120).

457521152 is an abundant number, since it is smaller than the sum of its proper divisors (585033088).

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

457521152 is a wasteful number, since it uses less digits than its factorization.

457521152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 919 counting only the distinct ones).

The product of its digits is 14000, while the sum is 32.

The square root of 457521152 is about 21389.7440844906. The cubic root of 457521152 is about 770.5551469693. Note that the first 3 decimals are identical.

The spelling of 457521152 in words is "four hundred fifty-seven million, five hundred twenty-one thousand, one hundred fifty-two".