972358416 has 30 divisors (see below), whose sum is σ = 2721253470. Its totient is φ = 324119424.

The previous prime is 972358397. The next prime is 972358433. The reversal of 972358416 is 614853279.

It can be written as a sum of positive squares in only one way, i.e., 923916816 + 48441600 = 30396^2 + 6960^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3376101 + ... + 3376388.

It is an arithmetic number, because the mean of its divisors is an integer number (90708449).

Almost surely, 2^972358416 is an apocalyptic number.

It is an amenable number.

972358416 is an abundant number, since it is smaller than the sum of its proper divisors (1748895054).

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

972358416 is a wasteful number, since it uses less digits than its factorization.

972358416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6752503 (or 6752494 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 972358416 is about 31182.6621057279. The cubic root of 972358416 is about 990.6999152160.

The spelling of 972358416 in words is "nine hundred seventy-two million, three hundred fifty-eight thousand, four hundred sixteen".