398913120 has 192 divisors, whose sum is σ = 1410877440. Its totient is φ = 105260544.

The previous prime is 398913103. The next prime is 398913131. The reversal of 398913120 is 21319893.

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

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, 461809 + ... + 462671.

It is an arithmetic number, because the mean of its divisors is an integer number (7348320).

Almost surely, 2^398913120 is an apocalyptic number.

398913120 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 398913120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705438720).

398913120 is an abundant number, since it is smaller than the sum of its proper divisors (1011964320).

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

398913120 is a wasteful number, since it uses less digits than its factorization.

398913120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 398913120 is about 19972.8095169408. The cubic root of 398913120 is about 736.1383443469.

The spelling of 398913120 in words is "three hundred ninety-eight million, nine hundred thirteen thousand, one hundred twenty".