457285985520 has 320 divisors, whose sum is σ = 1787279606784. Its totient is φ = 94128906240.

The previous prime is 457285985503. The next prime is 457285985551. The reversal of 457285985520 is 25589582754.

It is a super-2 number, since 2×457285985520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 640099 + ... + 1150781.

Almost surely, 2^457285985520 is an apocalyptic number.

457285985520 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 457285985520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893639803392).

457285985520 is an abundant number, since it is smaller than the sum of its proper divisors (1329993621264).

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

457285985520 is a wasteful number, since it uses less digits than its factorization.

457285985520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510760 (or 510754 counting only the distinct ones).

The product of its (nonzero) digits is 40320000, while the sum is 60.

The spelling of 457285985520 in words is "four hundred fifty-seven billion, two hundred eighty-five million, nine hundred eighty-five thousand, five hundred twenty".