457173972 has 72 divisors (see below), whose sum is σ = 1239507360. Its totient is φ = 141635520.

The previous prime is 457173947. The next prime is 457173973. The reversal of 457173972 is 279371754.

457173972 is a `hidden beast` number, since 4 + 571 + 7 + 3 + 9 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457173973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29947 + ... + 42557.

It is an arithmetic number, because the mean of its divisors is an integer number (17215380).

Almost surely, 2^457173972 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 457173972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619753680).

457173972 is an abundant number, since it is smaller than the sum of its proper divisors (782333388).

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

457173972 is a wasteful number, since it uses less digits than its factorization.

457173972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12693 (or 12688 counting only the distinct ones).

The product of its digits is 370440, while the sum is 45.

The square root of 457173972 is about 21381.6269727072. The cubic root of 457173972 is about 770.3601912965.

The spelling of 457173972 in words is "four hundred fifty-seven million, one hundred seventy-three thousand, nine hundred seventy-two".