974907360 has 384 divisors, whose sum is σ = 3950069760. Its totient is φ = 219967488.

The previous prime is 974907337. The next prime is 974907361. The reversal of 974907360 is 63709479.

974907360 is a `hidden beast` number, since 97 + 490 + 73 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (974907361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3114564 + ... + 3114876.

It is an arithmetic number, because the mean of its divisors is an integer number (10286640).

Almost surely, 2^974907360 is an apocalyptic number.

974907360 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 974907360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975034880).

974907360 is an abundant number, since it is smaller than the sum of its proper divisors (2975162400).

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

974907360 is a wasteful number, since it uses less digits than its factorization.

974907360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 974907360 is about 31223.5065295364. The cubic root of 974907360 is about 991.5648347129.

The spelling of 974907360 in words is "nine hundred seventy-four million, nine hundred seven thousand, three hundred sixty".