998272800 has 432 divisors, whose sum is σ = 4167858240. Its totient is φ = 219985920.

The previous prime is 998272763. The next prime is 998272811. The reversal of 998272800 is 8272899.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1461259 + ... + 1461941.

It is an arithmetic number, because the mean of its divisors is an integer number (9647820).

Almost surely, 2^998272800 is an apocalyptic number.

998272800 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 998272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083929120).

998272800 is an abundant number, since it is smaller than the sum of its proper divisors (3169585440).

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

998272800 is a wasteful number, since it uses less digits than its factorization.

998272800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 998272800 is about 31595.4553694040. The cubic root of 998272800 is about 999.4239348794.

The spelling of 998272800 in words is "nine hundred ninety-eight million, two hundred seventy-two thousand, eight hundred".