398559360 has 256 divisors, whose sum is σ = 1338664320. Its totient is φ = 100761600.

The previous prime is 398559347. The next prime is 398559367. The reversal of 398559360 is 63955893.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (398559367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4801879 + ... + 4801961.

Almost surely, 2^398559360 is an apocalyptic number.

398559360 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 398559360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669332160).

398559360 is an abundant number, since it is smaller than the sum of its proper divisors (940104960).

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

398559360 is a wasteful number, since it uses less digits than its factorization.

398559360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 48.

The square root of 398559360 is about 19963.9515126640. The cubic root of 398559360 is about 735.9206751307.

The spelling of 398559360 in words is "three hundred ninety-eight million, five hundred fifty-nine thousand, three hundred sixty".