457304540 has 96 divisors (see below), whose sum is σ = 1260403200. Its totient is φ = 135025920.

The previous prime is 457304537. The next prime is 457304543. The reversal of 457304540 is 45403754.

It is an interprime number because it is at equal distance from previous prime (457304537) and next prime (457304543).

It is a super-2 number, since 2×457304540² = 418254884609223200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 457304497 and 457304506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457304543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21446 + ... + 37074.

It is an arithmetic number, because the mean of its divisors is an integer number (13129200).

Almost surely, 2^457304540 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 457304540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630201600).

457304540 is an abundant number, since it is smaller than the sum of its proper divisors (803098660).

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

457304540 is a wasteful number, since it uses less digits than its factorization.

457304540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15675 (or 15673 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 32.

The square root of 457304540 is about 21384.6800303395. The cubic root of 457304540 is about 770.4335221082.

The spelling of 457304540 in words is "four hundred fifty-seven million, three hundred four thousand, five hundred forty".