974024400 has 120 divisors (see below), whose sum is σ = 3163150720. Its totient is φ = 256158720.

The previous prime is 974024377. The next prime is 974024411. The reversal of 974024400 is 4420479.

974024400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82041 + ... + 93159.

Almost surely, 2^974024400 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 974024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581575360).

974024400 is an abundant number, since it is smaller than the sum of its proper divisors (2189126320).

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

974024400 is a wasteful number, since it uses less digits than its factorization.

974024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11213 (or 11202 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 974024400 is about 31209.3639794213. The cubic root of 974024400 is about 991.2653954812.

Adding to 974024400 its reverse (4420479), we get a palindrome (978444879).

The spelling of 974024400 in words is "nine hundred seventy-four million, twenty-four thousand, four hundred".