974574403200 has 576 divisors, whose sum is σ = 3563396928000. Its totient is φ = 253505249280.

The previous prime is 974574403193. The next prime is 974574403223. The reversal of 974574403200 is 2304475479.

974574403200 is a `hidden beast` number, since 9 + 7 + 4 + 574 + 40 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 472405369 + ... + 472407431.

It is an arithmetic number, because the mean of its divisors is an integer number (6186453000).

Almost surely, 2^974574403200 is an apocalyptic number.

974574403200 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 974574403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781698464000).

974574403200 is an abundant number, since it is smaller than the sum of its proper divisors (2588822524800).

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

974574403200 is a wasteful number, since it uses less digits than its factorization.

974574403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

Adding to 974574403200 its reverse (2304475479), we get a palindrome (976878878679).

The spelling of 974574403200 in words is "nine hundred seventy-four billion, five hundred seventy-four million, four hundred three thousand, two hundred".