972435456 has 156 divisors (see below), whose sum is σ = 2915930472. Its totient is φ = 323813376.

The previous prime is 972435437. The next prime is 972435461. The reversal of 972435456 is 654534279.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 994840 + ... + 995816.

It is an arithmetic number, because the mean of its divisors is an integer number (18691862).

Almost surely, 2^972435456 is an apocalyptic number.

972435456 is a gapful number since it is divisible by the number (96) 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 972435456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457965236).

972435456 is an abundant number, since it is smaller than the sum of its proper divisors (1943495016).

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

972435456 is an frugal number, since it uses more digits than its factorization.

972435456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 982 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 972435456 is about 31183.8973831046. The cubic root of 972435456 is about 990.7260789243.

The spelling of 972435456 in words is "nine hundred seventy-two million, four hundred thirty-five thousand, four hundred fifty-six".