978974400 has 84 divisors (see below), whose sum is σ = 3211867592. Its totient is φ = 261058560.

The previous prime is 978974383. The next prime is 978974401. The reversal of 978974400 is 4479879.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 978974400.

It is not an unprimeable number, because it can be changed into a prime (978974401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97177 + ... + 106776.

Almost surely, 2^978974400 is an apocalyptic number.

It is an amenable number.

978974400 is an abundant number, since it is smaller than the sum of its proper divisors (2232893192).

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

978974400 is a wasteful number, since it uses less digits than its factorization.

978974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203978 (or 203963 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 978974400 is about 31288.5666018755. The cubic root of 978974400 is about 992.9417651988.

The spelling of 978974400 in words is "nine hundred seventy-eight million, nine hundred seventy-four thousand, four hundred".