998150400 has 648 divisors, whose sum is σ = 4059351296. Its totient is φ = 232243200.

The previous prime is 998150347. The next prime is 998150401. The reversal of 998150400 is 4051899.

It is a super-3 number, since 3×998150400³ (a number of 28 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (998150401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23212779 + ... + 23212821.

Almost surely, 2^998150400 is an apocalyptic number.

998150400 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 998150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029675648).

998150400 is an abundant number, since it is smaller than the sum of its proper divisors (3061200896).

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

998150400 is a wasteful number, since it uses less digits than its factorization.

998150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 998150400 is about 31593.5183225927. The cubic root of 998150400 is about 999.3830861622.

The spelling of 998150400 in words is "nine hundred ninety-eight million, one hundred fifty thousand, four hundred".