972264384 has 392 divisors, whose sum is σ = 3575771360. Its totient is φ = 255301632.

The previous prime is 972264379. The next prime is 972264401. The reversal of 972264384 is 483462279.

972264384 is a `hidden beast` number, since 9 + 7 + 2 + 264 + 384 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4245582 + ... + 4245810.

Almost surely, 2^972264384 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 972264384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787885680).

972264384 is an abundant number, since it is smaller than the sum of its proper divisors (2603506976).

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

972264384 is a wasteful number, since it uses less digits than its factorization.

972264384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 254 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 972264384 is about 31181.1543083318. The cubic root of 972264384 is about 990.6679789478.

It can be divided in two parts, 972 and 264384, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 972264384 in words is "nine hundred seventy-two million, two hundred sixty-four thousand, three hundred eighty-four".