457318400 has 336 divisors, whose sum is σ = 1462674240. Its totient is φ = 137625600.

The previous prime is 457318369. The next prime is 457318427. The reversal of 457318400 is 4813754.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15769586 + ... + 15769614.

Almost surely, 2^457318400 is an apocalyptic number.

457318400 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 457318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731337120).

457318400 is an abundant number, since it is smaller than the sum of its proper divisors (1005355840).

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

457318400 is a wasteful number, since it uses less digits than its factorization.

457318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 457318400 is about 21385.0040916526. The cubic root of 457318400 is about 770.4413054705.

The spelling of 457318400 in words is "four hundred fifty-seven million, three hundred eighteen thousand, four hundred".