972936432 has 240 divisors, whose sum is σ = 3119800320. Its totient is φ = 280760832.

The previous prime is 972936389. The next prime is 972936449. The reversal of 972936432 is 234639279.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2540113 + ... + 2540495.

It is an arithmetic number, because the mean of its divisors is an integer number (12999168).

Almost surely, 2^972936432 is an apocalyptic number.

972936432 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972936432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559900160).

972936432 is an abundant number, since it is smaller than the sum of its proper divisors (2146863888).

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

972936432 is a wasteful number, since it uses less digits than its factorization.

972936432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 483 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 972936432 is about 31191.9289560617. The cubic root of 972936432 is about 990.8961826835.

The spelling of 972936432 in words is "nine hundred seventy-two million, nine hundred thirty-six thousand, four hundred thirty-two".