457286400 has 324 divisors, whose sum is σ = 1734779592. Its totient is φ = 114524160.

The previous prime is 457286393. The next prime is 457286419. The reversal of 457286400 is 4682754.

457286400 is a `hidden beast` number, since 4 + 5 + 7 + 2 + 8 + 640 + 0 = 666.

It is a super-2 number, since 2×457286400² = 418221703249920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 978967 + ... + 979433.

It is an arithmetic number, because the mean of its divisors is an integer number (5354258).

Almost surely, 2^457286400 is an apocalyptic number.

457286400 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 457286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867389796).

457286400 is an abundant number, since it is smaller than the sum of its proper divisors (1277493192).

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

457286400 is a wasteful number, since it uses less digits than its factorization.

457286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 457286400 is about 21384.2558907248. The cubic root of 457286400 is about 770.4233349880.

The spelling of 457286400 in words is "four hundred fifty-seven million, two hundred eighty-six thousand, four hundred".