398692224 has 192 divisors, whose sum is σ = 1339260000. Its totient is φ = 113799168.

The previous prime is 398692207. The next prime is 398692253. The reversal of 398692224 is 422296893.

It is a tau number, because it is divible by the number of its divisors (192).

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 398692224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394632 + ... + 395640.

Almost surely, 2^398692224 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 398692224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669630000).

398692224 is an abundant number, since it is smaller than the sum of its proper divisors (940567776).

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

398692224 is a wasteful number, since it uses less digits than its factorization.

398692224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1021 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 398692224 is about 19967.2788331310. The cubic root of 398692224 is about 736.0024417058.

The spelling of 398692224 in words is "three hundred ninety-eight million, six hundred ninety-two thousand, two hundred twenty-four".