396100224 has 96 divisors (see below), whose sum is σ = 1227544500. Its totient is φ = 121872384.

The previous prime is 396100213. The next prime is 396100231. The reversal of 396100224 is 422001693.

It can be written as a sum of positive squares in 2 ways, for example, as 328334400 + 67765824 = 18120^2 + 8232^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1752 + ... + 28200.

Almost surely, 2^396100224 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 396100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613772250).

396100224 is an abundant number, since it is smaller than the sum of its proper divisors (831444276).

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

396100224 is a wasteful number, since it uses less digits than its factorization.

396100224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26482 (or 26467 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 396100224 is about 19902.2668055677. The cubic root of 396100224 is about 734.4039927446.

The spelling of 396100224 in words is "three hundred ninety-six million, one hundred thousand, two hundred twenty-four".