457490352 has 120 divisors (see below), whose sum is σ = 1308541248. Its totient is φ = 137624960.

The previous prime is 457490347. The next prime is 457490357. The reversal of 457490352 is 253094754.

It is an interprime number because it is at equal distance from previous prime (457490347) and next prime (457490357).

It is a self number, because there is not a number n which added to its sum of digits gives 457490352.

It is not an unprimeable number, because it can be changed into a prime (457490357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1318243 + ... + 1318589.

Almost surely, 2^457490352 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 457490352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654270624).

457490352 is an abundant number, since it is smaller than the sum of its proper divisors (851050896).

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

457490352 is a wasteful number, since it uses less digits than its factorization.

457490352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 457490352 is about 21389.0241011599. The cubic root of 457490352 is about 770.5378555056.

The spelling of 457490352 in words is "four hundred fifty-seven million, four hundred ninety thousand, three hundred fifty-two".