457920000 has 400 divisors, whose sum is σ = 1725760080. Its totient is φ = 119808000.

The previous prime is 457919993. The next prime is 457920037. The reversal of 457920000 is 29754.

457920000 is a `hidden beast` number, since 457 + 9 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 8639974 + ... + 8640026.

Almost surely, 2^457920000 is an apocalyptic number.

457920000 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 457920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862880040).

457920000 is an abundant number, since it is smaller than the sum of its proper divisors (1267840080).

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

457920000 is an frugal number, since it uses more digits than its factorization.

457920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 457920000 is about 21399.0654001524. The cubic root of 457920000 is about 770.7789946275.

Adding to 457920000 its reverse (29754), we get a palindrome (457949754).

The spelling of 457920000 in words is "four hundred fifty-seven million, nine hundred twenty thousand".