972440 has 64 divisors (see below), whose sum is σ = 2626560. Its totient is φ = 316800.

The previous prime is 972431. The next prime is 972443. The reversal of 972440 is 44279.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972440.

It is not an unprimeable number, because it can be changed into a prime (972443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6365 + ... + 6515.

It is an arithmetic number, because the mean of its divisors is an integer number (41040).

2⁹⁷²⁴⁴⁰ 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 972440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313280).

972440 is an abundant number, since it is smaller than the sum of its proper divisors (1654120).

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

972440 is a wasteful number, since it uses less digits than its factorization.

972440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 972440 is about 986.1237244890. The cubic root of 972440 is about 99.0727622078.

The spelling of 972440 in words is "nine hundred seventy-two thousand, four hundred forty".