398581680 has 120 divisors (see below), whose sum is σ = 1437376752. Its totient is φ = 91101696.

The previous prime is 398581669. The next prime is 398581693. The reversal of 398581680 is 86185893.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5187 + ... + 28706.

Almost surely, 2^398581680 is an apocalyptic number.

398581680 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 398581680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718688376).

398581680 is an abundant number, since it is smaller than the sum of its proper divisors (1038795072).

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

398581680 is a wasteful number, since it uses less digits than its factorization.

398581680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33923 (or 33910 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 398581680 is about 19964.5105124068. The cubic root of 398581680 is about 735.9344124762.

The spelling of 398581680 in words is "three hundred ninety-eight million, five hundred eighty-one thousand, six hundred eighty".