398649888 has 432 divisors, whose sum is σ = 1482278616. Its totient is φ = 100638720.

The previous prime is 398649871. The next prime is 398649907. The reversal of 398649888 is 888946893.

It can be written as a sum of positive squares in 4 ways, for example, as 211179024 + 187470864 = 14532^2 + 13692^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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 71 ways as a sum of consecutive naturals, for example, 7521670 + ... + 7521722.

Almost surely, 2^398649888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398649888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741139308).

398649888 is an abundant number, since it is smaller than the sum of its proper divisors (1083628728).

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

398649888 is a wasteful number, since it uses less digits than its factorization.

398649888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The square root of 398649888 is about 19966.2186705445. The cubic root of 398649888 is about 735.9763894442.

The spelling of 398649888 in words is "three hundred ninety-eight million, six hundred forty-nine thousand, eight hundred eighty-eight".