398917920 has 384 divisors, whose sum is σ = 1463132160. Its totient is φ = 90685440.

The previous prime is 398917919. The next prime is 398917921. The reversal of 398917920 is 29719893.

It is an interprime number because it is at equal distance from previous prime (398917919) and next prime (398917921).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 398917920.

It is not an unprimeable number, because it can be changed into a prime (398917921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4806199 + ... + 4806281.

It is an arithmetic number, because the mean of its divisors is an integer number (3810240).

Almost surely, 2^398917920 is an apocalyptic number.

398917920 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 398917920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731566080).

398917920 is an abundant number, since it is smaller than the sum of its proper divisors (1064214240).

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

398917920 is a wasteful number, since it uses less digits than its factorization.

398917920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The square root of 398917920 is about 19972.9296799443. The cubic root of 398917920 is about 736.1412969112.

The spelling of 398917920 in words is "three hundred ninety-eight million, nine hundred seventeen thousand, nine hundred twenty".