457372672 has 44 divisors (see below), whose sum is σ = 917833860. Its totient is φ = 227803136.

The previous prime is 457372631. The next prime is 457372681. The reversal of 457372672 is 276273754.

It can be written as a sum of positive squares in 2 ways, for example, as 14017536 + 443355136 = 3744^2 + 21056^2 .

It is a super-2 number, since 2×457372672² = 418379522184839168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 323904 + ... + 325312.

Almost surely, 2^457372672 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 457372672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458916930).

457372672 is an abundant number, since it is smaller than the sum of its proper divisors (460461188).

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

457372672 is a wasteful number, since it uses less digits than its factorization.

457372672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1728 counting only the distinct ones).

The product of its digits is 493920, while the sum is 43.

The square root of 457372672 is about 21386.2729805827. The cubic root of 457372672 is about 770.4717814923.

The spelling of 457372672 in words is "four hundred fifty-seven million, three hundred seventy-two thousand, six hundred seventy-two".