972444 has 48 divisors (see below), whose sum is σ = 2540160. Its totient is φ = 287040.

The previous prime is 972443. The next prime is 972469. The reversal of 972444 is 444279.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6927 + ... + 7065.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

2⁹⁷²⁴⁴⁴ 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 972444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080).

972444 is an abundant number, since it is smaller than the sum of its proper divisors (1567716).

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

972444 is a wasteful number, since it uses less digits than its factorization.

972444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 208 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 972444 is about 986.1257526300. The cubic root of 972444 is about 99.0728980484.

The spelling of 972444 in words is "nine hundred seventy-two thousand, four hundred forty-four".