398648250 has 512 divisors, whose sum is σ = 1509580800. Its totient is φ = 75168000.

The previous prime is 398648161. The next prime is 398648267. The reversal of 398648250 is 52846893.

398648250 is a `hidden beast` number, since 398 + 6 + 4 + 8 + 250 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 398648196 and 398648205.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 6756721 + ... + 6756779.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2^398648250 is an apocalyptic number.

398648250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 398648250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754790400).

398648250 is an abundant number, since it is smaller than the sum of its proper divisors (1110932550).

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

398648250 is a wasteful number, since it uses less digits than its factorization.

398648250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 398648250 is about 19966.1776512181. The cubic root of 398648250 is about 735.9753814328.

The spelling of 398648250 in words is "three hundred ninety-eight million, six hundred forty-eight thousand, two hundred fifty".