974848000 has 272 divisors, whose sum is σ = 2944378944. Its totient is φ = 314572800.

The previous prime is 974847989. The next prime is 974848033. The reversal of 974848000 is 848479.

It is a tau number, because it is divible by the number of its divisors (272).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57343992 + ... + 57344008.

Almost surely, 2^974848000 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 974848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472189472).

974848000 is an abundant number, since it is smaller than the sum of its proper divisors (1969530944).

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

974848000 is an frugal number, since it uses more digits than its factorization.

974848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 974848000 is about 31222.5559491852. Note that the first 3 decimals coincide. The cubic root of 974848000 is about 991.5447095586.

The spelling of 974848000 in words is "nine hundred seventy-four million, eight hundred forty-eight thousand".