172956480 has 112 divisors (see below), whose sum is σ = 557540160. Its totient is φ = 45416448.

The previous prime is 172956473. The next prime is 172956499. The reversal of 172956480 is 84659271.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62976 + ... + 65664.

Almost surely, 2^172956480 is an apocalyptic number.

172956480 is a gapful number since it is divisible by the number (10) 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 172956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278770080).

172956480 is an abundant number, since it is smaller than the sum of its proper divisors (384583680).

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

172956480 is a wasteful number, since it uses less digits than its factorization.

172956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 172956480 is about 13151.2919517438. The cubic root of 172956480 is about 557.1587379713.

The spelling of 172956480 in words is "one hundred seventy-two million, nine hundred fifty-six thousand, four hundred eighty".