974001600 has 756 divisors, whose sum is σ = 4193156968. Its totient is φ = 212889600.

The previous prime is 974001599. The next prime is 974001601. The reversal of 974001600 is 6100479.

It is an interprime number because it is at equal distance from previous prime (974001599) and next prime (974001601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (974001601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 22651179 + ... + 22651221.

Almost surely, 2^974001600 is an apocalyptic number.

974001600 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 974001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096578484).

974001600 is an abundant number, since it is smaller than the sum of its proper divisors (3219155368).

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

974001600 is a wasteful number, since it uses less digits than its factorization.

974001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 974001600 is about 31208.9987022974. The cubic root of 974001600 is about 991.2576608949.

The spelling of 974001600 in words is "nine hundred seventy-four million, one thousand, six hundred".