398373120 has 144 divisors (see below), whose sum is σ = 1413793920. Its totient is φ = 106223616.

The previous prime is 398373077. The next prime is 398373137. The reversal of 398373120 is 21373893.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×398373120² = 317402285477068800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28797 + ... + 40323.

Almost surely, 2^398373120 is an apocalyptic number.

398373120 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 398373120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706896960).

398373120 is an abundant number, since it is smaller than the sum of its proper divisors (1015420800).

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

398373120 is a wasteful number, since it uses less digits than its factorization.

398373120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11557 (or 11537 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 398373120 is about 19959.2865603959. The cubic root of 398373120 is about 735.8060295395.

The spelling of 398373120 in words is "three hundred ninety-eight million, three hundred seventy-three thousand, one hundred twenty".