398383920 has 400 divisors, whose sum is σ = 1581541632. Its totient is φ = 92378880.

The previous prime is 398383919. The next prime is 398383939. The reversal of 398383920 is 29383893.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17321029 + ... + 17321051.

Almost surely, 2^398383920 is an apocalyptic number.

398383920 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 398383920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790770816).

398383920 is an abundant number, since it is smaller than the sum of its proper divisors (1183157712).

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

398383920 is an equidigital number, since it uses as much as digits as its factorization.

398383920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 398383920 is about 19959.5571093148. The cubic root of 398383920 is about 735.8126787777.

The spelling of 398383920 in words is "three hundred ninety-eight million, three hundred eighty-three thousand, nine hundred twenty".