457053984 has 72 divisors (see below), whose sum is σ = 1302003612. Its totient is φ = 152087040.

The previous prime is 457053973. The next prime is 457054067. The reversal of 457053984 is 489350754.

457053984 is a `hidden beast` number, since 45 + 70 + 539 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 456762384 + 291600 = 21372^2 + 540^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235482 + ... + 237414.

Almost surely, 2^457053984 is an apocalyptic number.

It is an amenable number.

457053984 is an abundant number, since it is smaller than the sum of its proper divisors (844949628).

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

457053984 is a wasteful number, since it uses less digits than its factorization.

457053984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 457053984 is about 21378.8209216505. The cubic root of 457053984 is about 770.2927902106.

The spelling of 457053984 in words is "four hundred fifty-seven million, fifty-three thousand, nine hundred eighty-four".