457673824 has 96 divisors (see below), whose sum is σ = 994744800. Its totient is φ = 206438400.

The previous prime is 457673809. The next prime is 457673861. The reversal of 457673824 is 428376754.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1780704 + ... + 1780960.

It is an arithmetic number, because the mean of its divisors is an integer number (10361925).

Almost surely, 2^457673824 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 457673824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497372400).

457673824 is an abundant number, since it is smaller than the sum of its proper divisors (537070976).

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

457673824 is a wasteful number, since it uses less digits than its factorization.

457673824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 408 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 46.

The square root of 457673824 is about 21393.3125999692. The cubic root of 457673824 is about 770.6408472783.

It can be divided in two parts, 4576 and 73824, that added together give a square (78400 = 280²).

The spelling of 457673824 in words is "four hundred fifty-seven million, six hundred seventy-three thousand, eight hundred twenty-four".