398413590 has 64 divisors (see below), whose sum is σ = 1010534400. Its totient is φ = 100324224.

The previous prime is 398413583. The next prime is 398413591. The reversal of 398413590 is 95314893.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398413591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50856 + ... + 58164.

It is an arithmetic number, because the mean of its divisors is an integer number (15789600).

Almost surely, 2^398413590 is an apocalyptic number.

398413590 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 398413590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505267200).

398413590 is an abundant number, since it is smaller than the sum of its proper divisors (612120810).

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

398413590 is a wasteful number, since it uses less digits than its factorization.

398413590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7421.

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 398413590 is about 19960.3003484417. The cubic root of 398413590 is about 735.8309450941.

The spelling of 398413590 in words is "three hundred ninety-eight million, four hundred thirteen thousand, five hundred ninety".