974256400 has 240 divisors, whose sum is σ = 2720075904. Its totient is φ = 332144640.

The previous prime is 974256397. The next prime is 974256401. The reversal of 974256400 is 4652479.

It is a self number, because there is not a number n which added to its sum of digits gives 974256400.

It is not an unprimeable number, because it can be changed into a prime (974256401) 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 47 ways as a sum of consecutive naturals, for example, 9105147 + ... + 9105253.

Almost surely, 2^974256400 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 974256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360037952).

974256400 is an abundant number, since it is smaller than the sum of its proper divisors (1745819504).

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

974256400 is a wasteful number, since it uses less digits than its factorization.

974256400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 974256400 is about 31213.0805913162. The cubic root of 974256400 is about 991.3440914274.

The spelling of 974256400 in words is "nine hundred seventy-four million, two hundred fifty-six thousand, four hundred".