398990880 has 192 divisors, whose sum is σ = 1470268800. Its totient is φ = 100776960.

The previous prime is 398990873. The next prime is 398990887. The reversal of 398990880 is 88099893.

It is an interprime number because it is at equal distance from previous prime (398990873) and next prime (398990887).

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

It is not an unprimeable number, because it can be changed into a prime (398990887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79650 + ... + 84510.

It is an arithmetic number, because the mean of its divisors is an integer number (7657650).

Almost surely, 2^398990880 is an apocalyptic number.

398990880 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 398990880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735134400).

398990880 is an abundant number, since it is smaller than the sum of its proper divisors (1071277920).

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

398990880 is a wasteful number, since it uses less digits than its factorization.

398990880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4904 (or 4890 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 398990880 is about 19974.7560685982. The cubic root of 398990880 is about 736.1861729724.

The spelling of 398990880 in words is "three hundred ninety-eight million, nine hundred ninety thousand, eight hundred eighty".