398381520 has 80 divisors (see below), whose sum is σ = 1236974400. Its totient is φ = 106063872.

The previous prime is 398381509. The next prime is 398381563. The reversal of 398381520 is 25183893.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 233631 + ... + 235329.

It is an arithmetic number, because the mean of its divisors is an integer number (15462180).

Almost surely, 2^398381520 is an apocalyptic number.

398381520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

398381520 is an abundant number, since it is smaller than the sum of its proper divisors (838592880).

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

398381520 is a wasteful number, since it uses less digits than its factorization.

398381520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 398381520 is about 19959.4969876498. The cubic root of 398381520 is about 735.8112011796.

The spelling of 398381520 in words is "three hundred ninety-eight million, three hundred eighty-one thousand, five hundred twenty".