1457317872 has 80 divisors (see below), whose sum is σ = 4190208000. Its totient is φ = 484940736.

The previous prime is 1457317867. The next prime is 1457317903. The reversal of 1457317872 is 2787137541.

1457317872 is a `hidden beast` number, since 1 + 4 + 573 + 1 + 7 + 8 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282129 + ... + 287247.

It is an arithmetic number, because the mean of its divisors is an integer number (52377600).

Almost surely, 2^1457317872 is an apocalyptic number.

1457317872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1457317872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095104000).

1457317872 is an abundant number, since it is smaller than the sum of its proper divisors (2732890128).

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

1457317872 is a wasteful number, since it uses less digits than its factorization.

1457317872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5795 (or 5783 counting only the distinct ones).

The product of its digits is 329280, while the sum is 45.

The square root of 1457317872 is about 38174.8329662358. The cubic root of 1457317872 is about 1133.7520804015.

The spelling of 1457317872 in words is "one billion, four hundred fifty-seven million, three hundred seventeen thousand, eight hundred seventy-two".