457322400 has 216 divisors, whose sum is σ = 1698016320. Its totient is φ = 115499520.

The previous prime is 457322357. The next prime is 457322401. The reversal of 457322400 is 4223754.

It is not an unprimeable number, because it can be changed into a prime (457322401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 135129 + ... + 138471.

Almost surely, 2^457322400 is an apocalyptic number.

457322400 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 457322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849008160).

457322400 is an abundant number, since it is smaller than the sum of its proper divisors (1240693920).

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

457322400 is a wasteful number, since it uses less digits than its factorization.

457322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 457322400 is about 21385.0976149280. The cubic root of 457322400 is about 770.4435517219.

The spelling of 457322400 in words is "four hundred fifty-seven million, three hundred twenty-two thousand, four hundred".