398649990420 has 288 divisors, whose sum is σ = 1380092353920. Its totient is φ = 96641138880.

The previous prime is 398649990337. The next prime is 398649990443. The reversal of 398649990420 is 24099946893.

It is a happy number.

398649990420 is a `hidden beast` number, since 3 + 9 + 86 + 49 + 9 + 90 + 420 = 666.

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 95 ways as a sum of consecutive naturals, for example, 5254879 + ... + 5330201.

It is an arithmetic number, because the mean of its divisors is an integer number (4791987340).

Almost surely, 2^398649990420 is an apocalyptic number.

398649990420 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 398649990420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690046176960).

398649990420 is an abundant number, since it is smaller than the sum of its proper divisors (981442363500).

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

398649990420 is a wasteful number, since it uses less digits than its factorization.

398649990420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75375 (or 75344 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 398649990420 in words is "three hundred ninety-eight billion, six hundred forty-nine million, nine hundred ninety thousand, four hundred twenty".