974450880 has 336 divisors, whose sum is σ = 3824349984. Its totient is φ = 225607680.

The previous prime is 974450857. The next prime is 974450887. The reversal of 974450880 is 88054479.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (974450887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 635715 + ... + 637245.

It is an arithmetic number, because the mean of its divisors is an integer number (11381994).

Almost surely, 2^974450880 is an apocalyptic number.

974450880 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 974450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912174992).

974450880 is an abundant number, since it is smaller than the sum of its proper divisors (2849899104).

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

974450880 is a wasteful number, since it uses less digits than its factorization.

974450880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 974450880 is about 31216.1957964131. The cubic root of 974450880 is about 991.4100507141.

The spelling of 974450880 in words is "nine hundred seventy-four million, four hundred fifty thousand, eight hundred eighty".