974361600 has 198 divisors, whose sum is σ = 3489500430. Its totient is φ = 259768320.

The previous prime is 974361571. The next prime is 974361607. The reversal of 974361600 is 6163479.

974361600 is a `hidden beast` number, since 9 + 7 + 43 + 6 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 322274304 + 652087296 = 17952^2 + 25536^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (974361607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 228286 + ... + 232514.

Almost surely, 2^974361600 is an apocalyptic number.

974361600 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 974361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744750215).

974361600 is an abundant number, since it is smaller than the sum of its proper divisors (2515138830).

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

974361600 is a wasteful number, since it uses less digits than its factorization.

974361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4265 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 974361600 is about 31214.7657367471. The cubic root of 974361600 is about 991.3797718516.

The spelling of 974361600 in words is "nine hundred seventy-four million, three hundred sixty-one thousand, six hundred".