457300400 has 60 divisors (see below), whose sum is σ = 1101790344. Its totient is φ = 182400000.

The previous prime is 457300387. The next prime is 457300411. The reversal of 457300400 is 4003754.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158975 + ... + 161825.

Almost surely, 2^457300400 is an apocalyptic number.

457300400 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 457300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550895172).

457300400 is an abundant number, since it is smaller than the sum of its proper divisors (644489944).

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

457300400 is a wasteful number, since it uses less digits than its factorization.

457300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3270 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 457300400 is about 21384.5832318519. The cubic root of 457300400 is about 770.4311971773.

The spelling of 457300400 in words is "four hundred fifty-seven million, three hundred thousand, four hundred".