398427624 has 144 divisors (see below), whose sum is σ = 1296097920. Its totient is φ = 110134080.

The previous prime is 398427613. The next prime is 398427671. The reversal of 398427624 is 426724893.

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

It is a self number, because there is not a number n which added to its sum of digits gives 398427624.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107547 + ... + 111189.

It is an arithmetic number, because the mean of its divisors is an integer number (9000680).

Almost surely, 2^398427624 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 398427624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648048960).

398427624 is an abundant number, since it is smaller than the sum of its proper divisors (897670296).

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

398427624 is a wasteful number, since it uses less digits than its factorization.

398427624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3700 (or 3686 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 398427624 is about 19960.6518931622. The cubic root of 398427624 is about 735.8395848013.

The spelling of 398427624 in words is "three hundred ninety-eight million, four hundred twenty-seven thousand, six hundred twenty-four".