398672304 has 80 divisors (see below), whose sum is σ = 1099358208. Its totient is φ = 124056576.

The previous prime is 398672291. The next prime is 398672347. The reversal of 398672304 is 403276893.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101709 + ... + 105555.

Almost surely, 2^398672304 is an apocalyptic number.

398672304 is a gapful number since it is divisible by the number (34) 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 398672304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549679104).

398672304 is an abundant number, since it is smaller than the sum of its proper divisors (700685904).

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

398672304 is a wasteful number, since it uses less digits than its factorization.

398672304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002 (or 3996 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 398672304 is about 19966.7800108080. The cubic root of 398672304 is about 735.9901837853.

The spelling of 398672304 in words is "three hundred ninety-eight million, six hundred seventy-two thousand, three hundred four".