974257200 has 480 divisors, whose sum is σ = 4059264000. Its totient is φ = 221840640.

The previous prime is 974257187. The next prime is 974257217. The reversal of 974257200 is 2752479.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3704269 + ... + 3704531.

It is an arithmetic number, because the mean of its divisors is an integer number (8456800).

Almost surely, 2^974257200 is an apocalyptic number.

974257200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 974257200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029632000).

974257200 is an abundant number, since it is smaller than the sum of its proper divisors (3085006800).

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

974257200 is a wasteful number, since it uses less digits than its factorization.

974257200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 974257200 is about 31213.0934064536. The cubic root of 974257200 is about 991.3443627711.

The spelling of 974257200 in words is "nine hundred seventy-four million, two hundred fifty-seven thousand, two hundred".