983876400 has 180 divisors, whose sum is σ = 3677139648. Its totient is φ = 242173440.

The previous prime is 983876371. The next prime is 983876429. The reversal of 983876400 is 4678389.

It is a happy number.

983876400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (983876371) and next prime (983876429).

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36289 + ... + 57311.

Almost surely, 2^983876400 is an apocalyptic number.

983876400 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 983876400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838569824).

983876400 is an abundant number, since it is smaller than the sum of its proper divisors (2693263248).

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

983876400 is a wasteful number, since it uses less digits than its factorization.

983876400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21060 (or 21046 counting only the distinct ones).

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

The square root of 983876400 is about 31366.8041088027. The cubic root of 983876400 is about 994.5963194991.

The spelling of 983876400 in words is "nine hundred eighty-three million, eight hundred seventy-six thousand, four hundred".