972350040 has 64 divisors (see below), whose sum is σ = 2923464960. Its totient is φ = 258723200.

The previous prime is 972350033. The next prime is 972350069. The reversal of 972350040 is 40053279.

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

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, 47365 + ... + 64715.

It is an arithmetic number, because the mean of its divisors is an integer number (45679140).

Almost surely, 2^972350040 is an apocalyptic number.

It is an amenable number.

972350040 is an abundant number, since it is smaller than the sum of its proper divisors (1951114920).

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

972350040 is a wasteful number, since it uses less digits than its factorization.

972350040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17832 (or 17828 counting only the distinct ones).

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

The square root of 972350040 is about 31182.5278000357. The cubic root of 972350040 is about 990.6970705426.

The spelling of 972350040 in words is "nine hundred seventy-two million, three hundred fifty thousand, forty".