159998400 has 252 divisors, whose sum is σ = 584691744. Its totient is φ = 41472000.

The previous prime is 159998393. The next prime is 159998431. The reversal of 159998400 is 4899951.

159998400 is a `hidden beast` number, since 159 + 9 + 98 + 400 = 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 35 ways as a sum of consecutive naturals, for example, 590265 + ... + 590535.

Almost surely, 2^159998400 is an apocalyptic number.

159998400 is a gapful number since it is divisible by the number (10) 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 159998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292345872).

159998400 is an abundant number, since it is smaller than the sum of its proper divisors (424693344).

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

159998400 is a wasteful number, since it uses less digits than its factorization.

159998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 159998400 is about 12649.0473949622. The cubic root of 159998400 is about 542.8817137012.

Multiplying 159998400 by its reverse (4899951), we get a square (783984320078400 = 27999720²).

It can be divided in two parts, 1599 and 98400, that added together give a palindrome (99999).

The spelling of 159998400 in words is "one hundred fifty-nine million, nine hundred ninety-eight thousand, four hundred".