457112484 has 120 divisors (see below), whose sum is σ = 1252855296. Its totient is φ = 145152000.

The previous prime is 457112441. The next prime is 457112503. The reversal of 457112484 is 484211754.

It is a happy number.

457112484 is a `hidden beast` number, since 4 + 571 + 1 + 2 + 4 + 84 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 712804 + ... + 713444.

Almost surely, 2^457112484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457112484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626427648).

457112484 is an abundant number, since it is smaller than the sum of its proper divisors (795742812).

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

457112484 is a wasteful number, since it uses less digits than its factorization.

457112484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 748 counting only the distinct ones).

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

The square root of 457112484 is about 21380.1890543559. The cubic root of 457112484 is about 770.3256529995.

The spelling of 457112484 in words is "four hundred fifty-seven million, one hundred twelve thousand, four hundred eighty-four".