398401424 has 80 divisors (see below), whose sum is σ = 841017600. Its totient is φ = 182227968.

The previous prime is 398401417. The next prime is 398401439. The reversal of 398401424 is 424104893.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1272692 + ... + 1273004.

It is an arithmetic number, because the mean of its divisors is an integer number (10512720).

Almost surely, 2^398401424 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 398401424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420508800).

398401424 is an abundant number, since it is smaller than the sum of its proper divisors (442616176).

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

398401424 is a wasteful number, since it uses less digits than its factorization.

398401424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 398401424 is about 19959.9955911819. The cubic root of 398401424 is about 735.8234552138.

The spelling of 398401424 in words is "three hundred ninety-eight million, four hundred one thousand, four hundred twenty-four".