398382180 has 96 divisors (see below), whose sum is σ = 1280240640. Its totient is φ = 90672000.

The previous prime is 398382167. The next prime is 398382197. The reversal of 398382180 is 81283893.

It is a super-2 number, since 2×398382180² = 317416722683104800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103531 + ... + 107309.

It is an arithmetic number, because the mean of its divisors is an integer number (13335840).

Almost surely, 2^398382180 is an apocalyptic number.

398382180 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 398382180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640120320).

398382180 is an abundant number, since it is smaller than the sum of its proper divisors (881858460).

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

398382180 is a wasteful number, since it uses less digits than its factorization.

398382180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049 (or 4047 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 398382180 is about 19959.5135211257. The cubic root of 398382180 is about 735.8116075197.

The spelling of 398382180 in words is "three hundred ninety-eight million, three hundred eighty-two thousand, one hundred eighty".