980942400 has 441 divisors, whose sum is σ = 3748035811. Its totient is φ = 252564480.

The previous prime is 980942383. The next prime is 980942453. The reversal of 980942400 is 4249089.

It is a happy number.

The square root of 980942400 is 31320.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13483584 + 967458816 = 3672^2 + 31104^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 33825586 + ... + 33825614.

Almost surely, 2^980942400 is an apocalyptic number.

980942400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

980942400 is the 31320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 980942400

980942400 is an abundant number, since it is smaller than the sum of its proper divisors (2767093411).

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

980942400 is an equidigital number, since it uses as much as digits as its factorization.

980942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The cubic root of 980942400 is about 993.6066792242.

Multiplying 980942400 by its sum of digits (36), we get a square (35313926400 = 187920²).

980942400 divided by its sum of digits (36) gives a square (27248400 = 5220²).

Multiplying 980942400 by its product of nonzero digits (20736), we get a square (20340821606400 = 4510080²).

The spelling of 980942400 in words is "nine hundred eighty million, nine hundred forty-two thousand, four hundred".