398735880 has 128 divisors (see below), whose sum is σ = 1221454080. Its totient is φ = 104115200.

The previous prime is 398735873. The next prime is 398735893. The reversal of 398735880 is 88537893.

It is a happy 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, 2023942 + ... + 2024138.

It is an arithmetic number, because the mean of its divisors is an integer number (9542610).

Almost surely, 2^398735880 is an apocalyptic number.

398735880 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 398735880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610727040).

398735880 is an abundant number, since it is smaller than the sum of its proper divisors (822718200).

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

398735880 is a wasteful number, since it uses less digits than its factorization.

398735880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 398735880 is about 19968.3719917273. The cubic root of 398735880 is about 736.0293043231.

It can be divided in two parts, 39873 and 5880, that added together give a triangular number (45753 = T₃₀₂).

The spelling of 398735880 in words is "three hundred ninety-eight million, seven hundred thirty-five thousand, eight hundred eighty".