398652408 has 192 divisors, whose sum is σ = 1391712000. Its totient is φ = 103498560.

The previous prime is 398652347. The next prime is 398652409. The reversal of 398652408 is 804256893.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398652409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181863 + ... + 184041.

It is an arithmetic number, because the mean of its divisors is an integer number (7248500).

Almost surely, 2^398652408 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 398652408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695856000).

398652408 is an abundant number, since it is smaller than the sum of its proper divisors (993059592).

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

398652408 is a wasteful number, since it uses less digits than its factorization.

398652408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223 (or 2202 counting only the distinct ones).

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

The square root of 398652408 is about 19966.2817770360. The cubic root of 398652408 is about 735.9779402257.

The spelling of 398652408 in words is "three hundred ninety-eight million, six hundred fifty-two thousand, four hundred eight".