398241900 has 288 divisors, whose sum is σ = 1541568000. Its totient is φ = 86158080.

The previous prime is 398241863. The next prime is 398241929. The reversal of 398241900 is 9142893.

It is a super-2 number, since 2×398241900² = 317193221831220000, which contains 22 as substring.

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

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, 358546 + ... + 359654.

Almost surely, 2^398241900 is an apocalyptic number.

398241900 is a gapful number since it is divisible by the number (30) 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 398241900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770784000).

398241900 is an abundant number, since it is smaller than the sum of its proper divisors (1143326100).

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

398241900 is a wasteful number, since it uses less digits than its factorization.

398241900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 398241900 is about 19955.9990980156. Note that the first 3 decimals coincide. The cubic root of 398241900 is about 735.7252316933.

Adding to 398241900 its sum of digits (36), we get a square (398241936 = 19956²).

The spelling of 398241900 in words is "three hundred ninety-eight million, two hundred forty-one thousand, nine hundred".