457992 has 24 divisors (see below), whose sum is σ = 1240590. Its totient is φ = 152640.

The previous prime is 457987. The next prime is 458009. The reversal of 457992 is 299754.

It can be written as a sum of positive squares in only one way, i.e., 427716 + 30276 = 654^2 + 174^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4⁸ + 5⁷ + 9⁴ + 7⁶ + 9⁵ + 2¹⁷ .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3109 + ... + 3252.

2⁴⁵⁷⁹⁹² is an apocalyptic number.

It is an amenable number.

457992 is an abundant number, since it is smaller than the sum of its proper divisors (782598).

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

457992 is a wasteful number, since it uses less digits than its factorization.

457992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6373 (or 6366 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 457992 is about 676.7510620605. The cubic root of 457992 is about 77.0819389732.

The spelling of 457992 in words is "four hundred fifty-seven thousand, nine hundred ninety-two".