398756160 has 336 divisors, whose sum is σ = 1537728192. Its totient is φ = 94003200.

The previous prime is 398756147. The next prime is 398756179. The reversal of 398756160 is 61657893.

It is a happy number.

398756160 is a `hidden beast` number, since 3 + 9 + 87 + 561 + 6 + 0 = 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1298727 + ... + 1299033.

It is an arithmetic number, because the mean of its divisors is an integer number (4576572).

Almost surely, 2^398756160 is an apocalyptic number.

398756160 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 398756160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768864096).

398756160 is an abundant number, since it is smaller than the sum of its proper divisors (1138972032).

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

398756160 is a wasteful number, since it uses less digits than its factorization.

398756160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 398756160 is about 19968.8797883106. The cubic root of 398756160 is about 736.0417824421.

The spelling of 398756160 in words is "three hundred ninety-eight million, seven hundred fifty-six thousand, one hundred sixty".