457157440 has 56 divisors (see below), whose sum is σ = 1090650600. Its totient is φ = 182519808.

The previous prime is 457157431. The next prime is 457157447. The reversal of 457157440 is 44751754.

It can be written as a sum of positive squares in 4 ways, for example, as 237406464 + 219750976 = 15408^2 + 14824^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 457157440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457157447) 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, 233586 + ... + 235534.

Almost surely, 2^457157440 is an apocalyptic number.

457157440 is a gapful number since it is divisible by the number (40) 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 457157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545325300).

457157440 is an abundant number, since it is smaller than the sum of its proper divisors (633493160).

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

457157440 is a wasteful number, since it uses less digits than its factorization.

457157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2699 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 37.

The square root of 457157440 is about 21381.2403756190. The cubic root of 457157440 is about 770.3509054454.

The spelling of 457157440 in words is "four hundred fifty-seven million, one hundred fifty-seven thousand, four hundred forty".