398971980 has 288 divisors, whose sum is σ = 1452971520. Its totient is φ = 90823680.

The previous prime is 398971973. The next prime is 398972027. The reversal of 398971980 is 89179893.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 908601 + ... + 909039.

It is an arithmetic number, because the mean of its divisors is an integer number (5045040).

Almost surely, 2^398971980 is an apocalyptic number.

398971980 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 398971980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726485760).

398971980 is an abundant number, since it is smaller than the sum of its proper divisors (1053999540).

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

398971980 is a wasteful number, since it uses less digits than its factorization.

398971980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The square root of 398971980 is about 19974.2829658539. The cubic root of 398971980 is about 736.1745485310.

The spelling of 398971980 in words is "three hundred ninety-eight million, nine hundred seventy-one thousand, nine hundred eighty".