998524800 has 768 divisors, whose sum is σ = 4533043200. Its totient is φ = 209018880.

The previous prime is 998524763. The next prime is 998524811. The reversal of 998524800 is 8425899.

998524800 is a `hidden beast` number, since 99 + 85 + 2 + 480 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7862337 + ... + 7862463.

It is an arithmetic number, because the mean of its divisors is an integer number (5902400).

Almost surely, 2^998524800 is an apocalyptic number.

998524800 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 998524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266521600).

998524800 is an abundant number, since it is smaller than the sum of its proper divisors (3534518400).

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

998524800 is a wasteful number, since it uses less digits than its factorization.

998524800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 998524800 is about 31599.4430330663. The cubic root of 998524800 is about 999.5080246666.

The spelling of 998524800 in words is "nine hundred ninety-eight million, five hundred twenty-four thousand, eight hundred".