398393856 has 320 divisors, whose sum is σ = 1414195200. Its totient is φ = 108269568.

The previous prime is 398393813. The next prime is 398393857. The reversal of 398393856 is 658393893.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (398393857) 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, 2225575 + ... + 2225753.

It is an arithmetic number, because the mean of its divisors is an integer number (4419360).

Almost surely, 2^398393856 is an apocalyptic number.

398393856 is a gapful number since it is divisible by the number (36) 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 398393856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707097600).

398393856 is an abundant number, since it is smaller than the sum of its proper divisors (1015801344).

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

398393856 is a wasteful number, since it uses less digits than its factorization.

398393856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 214 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 398393856 is about 19959.8060110814. The cubic root of 398393856 is about 735.8187959707.

The spelling of 398393856 in words is "three hundred ninety-eight million, three hundred ninety-three thousand, eight hundred fifty-six".