983552400 has 180 divisors, whose sum is σ = 3531271380. Its totient is φ = 253209600.

The previous prime is 983552393. The next prime is 983552411. The reversal of 983552400 is 4255389.

It can be written as a sum of positive squares in 6 ways, for example, as 46457856 + 937094544 = 6816^2 + 30612^2 .

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99690 + ... + 109110.

Almost surely, 2^983552400 is an apocalyptic number.

983552400 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 983552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765635690).

983552400 is an abundant number, since it is smaller than the sum of its proper divisors (2547718980).

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

983552400 is a wasteful number, since it uses less digits than its factorization.

983552400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9474 (or 9460 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 983552400 is about 31361.6389877825. The cubic root of 983552400 is about 994.4871307883.

The spelling of 983552400 in words is "nine hundred eighty-three million, five hundred fifty-two thousand, four hundred".