398637120 has 224 divisors, whose sum is σ = 1460406528. Its totient is φ = 90243072.

The previous prime is 398637101. The next prime is 398637163. The reversal of 398637120 is 21736893.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 920424 + ... + 920856.

It is an arithmetic number, because the mean of its divisors is an integer number (6519672).

Almost surely, 2^398637120 is an apocalyptic number.

398637120 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 398637120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730203264).

398637120 is an abundant number, since it is smaller than the sum of its proper divisors (1061769408).

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

398637120 is a wasteful number, since it uses less digits than its factorization.

398637120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 398637120 is about 19965.8989279221. The cubic root of 398637120 is about 735.9685320509.

The spelling of 398637120 in words is "three hundred ninety-eight million, six hundred thirty-seven thousand, one hundred twenty".