972480 has 56 divisors (see below), whose sum is σ = 3090672. Its totient is φ = 259072.

The previous prime is 972473. The next prime is 972481. The reversal of 972480 is 84279.

972480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972480.

It is not an unprimeable number, because it can be changed into a prime (972481) by changing a digit.

972480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 454 + ... + 1466.

2⁹⁷²⁴⁸⁰ 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 972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545336).

972480 is an abundant number, since it is smaller than the sum of its proper divisors (2118192).

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

972480 is a wasteful number, since it uses less digits than its factorization.

972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 972480 is about 986.1440057111. The cubic root of 972480 is about 99.0741205971.

The spelling of 972480 in words is "nine hundred seventy-two thousand, four hundred eighty".