974821600 has 144 divisors (see below), whose sum is σ = 2549836800. Its totient is φ = 362810880.

The previous prime is 974821597. The next prime is 974821607. The reversal of 974821600 is 6128479.

It is a self number, because there is not a number n which added to its sum of digits gives 974821600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (974821607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 896257 + ... + 897343.

It is an arithmetic number, because the mean of its divisors is an integer number (17707200).

Almost surely, 2^974821600 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 974821600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274918400).

974821600 is an abundant number, since it is smaller than the sum of its proper divisors (1575015200).

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

974821600 is a wasteful number, since it uses less digits than its factorization.

974821600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 974821600 is about 31222.1331750411. The cubic root of 974821600 is about 991.5357587558.

The spelling of 974821600 in words is "nine hundred seventy-four million, eight hundred twenty-one thousand, six hundred".