984974400 has 252 divisors, whose sum is σ = 3552575572. Its totient is φ = 258785280.

The previous prime is 984974371. The next prime is 984974401. The reversal of 984974400 is 4479489.

It can be written as a sum of positive squares in 6 ways, for example, as 138862656 + 846111744 = 11784^2 + 29088^2 .

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 (984974401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1050732 + ... + 1051668.

Almost surely, 2^984974400 is an apocalyptic number.

984974400 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 984974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776287786).

984974400 is an abundant number, since it is smaller than the sum of its proper divisors (2567601172).

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

984974400 is a wasteful number, since it uses less digits than its factorization.

984974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 984974400 is about 31384.3018083882. The cubic root of 984974400 is about 994.9661697377.

The spelling of 984974400 in words is "nine hundred eighty-four million, nine hundred seventy-four thousand, four hundred".