998600400 has 900 divisors, whose sum is σ = 4533563628. Its totient is φ = 209018880.

The previous prime is 998600377. The next prime is 998600431. The reversal of 998600400 is 4006899.

998600400 is a `hidden beast` number, since 9 + 9 + 8 + 600 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 53406864 + 945193536 = 7308^2 + 30744^2 .

It is a tau number, because it is divible by the number of its divisors (900).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 26989182 + ... + 26989218.

Almost surely, 2^998600400 is an apocalyptic number.

998600400 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 998600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266781814).

998600400 is an abundant number, since it is smaller than the sum of its proper divisors (3534963228).

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

998600400 is a wasteful number, since it uses less digits than its factorization.

998600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 998600400 is about 31600.6392340408. The cubic root of 998600400 is about 999.5332488439.

The spelling of 998600400 in words is "nine hundred ninety-eight million, six hundred thousand, four hundred".