457488000 has 320 divisors, whose sum is σ = 1703936520. Its totient is φ = 121651200.

The previous prime is 457487981. The next prime is 457488011. The reversal of 457488000 is 884754.

457488000 is a `hidden beast` number, since 4 + 574 + 8 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 115089984 + 342398016 = 10728^2 + 18504^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 1295824 + ... + 1296176.

Almost surely, 2^457488000 is an apocalyptic number.

457488000 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 457488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851968260).

457488000 is an abundant number, since it is smaller than the sum of its proper divisors (1246448520).

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

457488000 is an equidigital number, since it uses as much as digits as its factorization.

457488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 457488000 is about 21388.9691196186. The cubic root of 457488000 is about 770.5365350347.

The spelling of 457488000 in words is "four hundred fifty-seven million, four hundred eighty-eight thousand".