457774272 has 126 divisors (see below), whose sum is σ = 1357458804. Its totient is φ = 147490560.

The previous prime is 457774271. The next prime is 457774279. The reversal of 457774272 is 272477754.

457774272 is a `hidden beast` number, since 4 + 577 + 7 + 4 + 2 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (457774271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 553123 + ... + 553949.

Almost surely, 2^457774272 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 457774272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678729402).

457774272 is an abundant number, since it is smaller than the sum of its proper divisors (899684532).

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

457774272 is a wasteful number, since it uses less digits than its factorization.

457774272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 863 counting only the distinct ones).

The product of its digits is 768320, while the sum is 45.

The square root of 457774272 is about 21395.6601206880. The cubic root of 457774272 is about 770.6972219752.

The spelling of 457774272 in words is "four hundred fifty-seven million, seven hundred seventy-four thousand, two hundred seventy-two".