972503040 has 96 divisors (see below), whose sum is σ = 3111348240. Its totient is φ = 259325952.

The previous prime is 972503033. The next prime is 972503083. The reversal of 972503040 is 40305279.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 972502989 and 972503007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14892 + ... + 46548.

Almost surely, 2^972503040 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 972503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555674120).

972503040 is an abundant number, since it is smaller than the sum of its proper divisors (2138845200).

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

972503040 is a wasteful number, since it uses less digits than its factorization.

972503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31687 (or 31667 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 972503040 is about 31184.9810004752. The cubic root of 972503040 is about 990.7490301237.

The spelling of 972503040 in words is "nine hundred seventy-two million, five hundred three thousand, forty".