457721856 has 144 divisors (see below), whose sum is σ = 1392627600. Its totient is φ = 144433152.

The previous prime is 457721839. The next prime is 457721863. The reversal of 457721856 is 658127754.

457721856 is a `hidden beast` number, since 4 + 577 + 21 + 8 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 349555 + ... + 350861.

It is an arithmetic number, because the mean of its divisors is an integer number (9671025).

Almost surely, 2^457721856 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 457721856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696313800).

457721856 is an abundant number, since it is smaller than the sum of its proper divisors (934905744).

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

457721856 is a wasteful number, since it uses less digits than its factorization.

457721856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1331 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 457721856 is about 21394.4351643132. The cubic root of 457721856 is about 770.6678054338.

The spelling of 457721856 in words is "four hundred fifty-seven million, seven hundred twenty-one thousand, eight hundred fifty-six".