998078400 has 252 divisors, whose sum is σ = 3870511944. Its totient is φ = 241920000.

The previous prime is 998078383. The next prime is 998078407. The reversal of 998078400 is 4870899.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (998078407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 155250 + ... + 161550.

Almost surely, 2^998078400 is an apocalyptic number.

998078400 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 998078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935255972).

998078400 is an abundant number, since it is smaller than the sum of its proper divisors (2872433544).

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

998078400 is a wasteful number, since it uses less digits than its factorization.

998078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6340 (or 6322 counting only the distinct ones).

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

The square root of 998078400 is about 31592.3788278123. The cubic root of 998078400 is about 999.3590559452.

The spelling of 998078400 in words is "nine hundred ninety-eight million, seventy-eight thousand, four hundred".