457492880 has 80 divisors (see below), whose sum is σ = 1149395184. Its totient is φ = 168345600.

The previous prime is 457492879. The next prime is 457492891. The reversal of 457492880 is 88294754.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 559504 + 456933376 = 748^2 + 21376^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 416492 + ... + 417588.

Almost surely, 2^457492880 is an apocalyptic number.

457492880 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 457492880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574697592).

457492880 is an abundant number, since it is smaller than the sum of its proper divisors (691902304).

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

457492880 is a wasteful number, since it uses less digits than its factorization.

457492880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The square root of 457492880 is about 21389.0831968086. The cubic root of 457492880 is about 770.5392747823.

The spelling of 457492880 in words is "four hundred fifty-seven million, four hundred ninety-two thousand, eight hundred eighty".