984704400 has 135 divisors (see below), whose sum is σ = 3423744129. Its totient is φ = 262085760.

The previous prime is 984704381. The next prime is 984704401. The reversal of 984704400 is 4407489.

The square root of 984704400 is 31380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 354493584 + 630210816 = 18828^2 + 25104^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (984704401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1882539 + ... + 1883061.

Almost surely, 2^984704400 is an apocalyptic number.

984704400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

984704400 is the 31380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 984704400

984704400 is an abundant number, since it is smaller than the sum of its proper divisors (2439039729).

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

984704400 is a wasteful number, since it uses less digits than its factorization.

984704400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The cubic root of 984704400 is about 994.8752484522.

Multiplying 984704400 by its sum of digits (36), we get a square (35449358400 = 188280²).

984704400 divided by its sum of digits (36) gives a square (27352900 = 5230²).

The spelling of 984704400 in words is "nine hundred eighty-four million, seven hundred four thousand, four hundred".