457489904400 has 135 divisors (see below), whose sum is σ = 1587757894879. Its totient is φ = 121986485760.

The previous prime is 457489904387. The next prime is 457489904413. The reversal of 457489904400 is 4409984754.

The square root of 457489904400 is 676380.

It is a perfect power (a square), and thus also a powerful number.

457489904400 is a `hidden beast` number, since 4 + 5 + 74 + 89 + 90 + 4 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (457489904387) and next prime (457489904413).

It can be written as a sum of positive squares in 4 ways, for example, as 69968714256 + 387521190144 = 264516^2 + 622512^2 .

It is a super-2 number, since 2×457489904400² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40577164 + ... + 40588436.

Almost surely, 2^457489904400 is an apocalyptic number.

457489904400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

457489904400 is the 676380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457489904400

457489904400 is an abundant number, since it is smaller than the sum of its proper divisors (1130267990479).

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

457489904400 is an equidigital number, since it uses as much as digits as its factorization.

457489904400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22570 (or 11283 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

It can be divided in two parts, 457489 and 904400, that added together give a square (1361889 = 1167²).

The spelling of 457489904400 in words is "four hundred fifty-seven billion, four hundred eighty-nine million, nine hundred four thousand, four hundred".