972147456 has 324 divisors, whose sum is σ = 3332128800. Its totient is φ = 271724544.

The previous prime is 972147419. The next prime is 972147457. The reversal of 972147456 is 654741279.

Its product of digits (423360) is a multiple of the sum of its prime factors (224).

It is not an unprimeable number, because it can be changed into a prime (972147457) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8918730 + ... + 8918838.

Almost surely, 2^972147456 is an apocalyptic number.

972147456 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 972147456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666064400).

972147456 is an abundant number, since it is smaller than the sum of its proper divisors (2359981344).

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

972147456 is a wasteful number, since it uses less digits than its factorization.

972147456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 200 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 972147456 is about 31179.2792732610. The cubic root of 972147456 is about 990.6282635949.

The spelling of 972147456 in words is "nine hundred seventy-two million, one hundred forty-seven thousand, four hundred fifty-six".