457634400 has 144 divisors (see below), whose sum is σ = 1537901568. Its totient is φ = 118080000.

The previous prime is 457634377. The next prime is 457634449. The reversal of 457634400 is 4436754.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71325 + ... + 77475.

It is an arithmetic number, because the mean of its divisors is an integer number (10679872).

Almost surely, 2^457634400 is an apocalyptic number.

457634400 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 457634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768950784).

457634400 is an abundant number, since it is smaller than the sum of its proper divisors (1080267168).

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

457634400 is a wasteful number, since it uses less digits than its factorization.

457634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6205 (or 6192 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 457634400 is about 21392.3911706943. The cubic root of 457634400 is about 770.6187189884.

The spelling of 457634400 in words is "four hundred fifty-seven million, six hundred thirty-four thousand, four hundred".