972104448 has 288 divisors, whose sum is σ = 3223306240. Its totient is φ = 253808640.

The previous prime is 972104443. The next prime is 972104449. The reversal of 972104448 is 844401279.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972104443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3166311 + ... + 3166617.

Almost surely, 2^972104448 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 972104448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611653120).

972104448 is an abundant number, since it is smaller than the sum of its proper divisors (2251201792).

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

972104448 is a wasteful number, since it uses less digits than its factorization.

972104448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 972104448 is about 31178.5895768234. The cubic root of 972104448 is about 990.6136548479.

The spelling of 972104448 in words is "nine hundred seventy-two million, one hundred four thousand, four hundred forty-eight".