972557432 has 128 divisors (see below), whose sum is σ = 2371783680. Its totient is φ = 362880000.

The previous prime is 972557429. The next prime is 972557477. The reversal of 972557432 is 234755279.

It is a happy number.

972557432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1617932 + ... + 1618532.

It is an arithmetic number, because the mean of its divisors is an integer number (18529560).

Almost surely, 2^972557432 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 972557432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185891840).

972557432 is an abundant number, since it is smaller than the sum of its proper divisors (1399226248).

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

972557432 is a wasteful number, since it uses less digits than its factorization.

972557432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 729 counting only the distinct ones).

The product of its digits is 529200, while the sum is 44.

The square root of 972557432 is about 31185.8530747517. The cubic root of 972557432 is about 990.7675006115.

The spelling of 972557432 in words is "nine hundred seventy-two million, five hundred fifty-seven thousand, four hundred thirty-two".