395924224 has 36 divisors (see below), whose sum is σ = 792757224. Its totient is φ = 197347328.

The previous prime is 395924209. The next prime is 395924251. The reversal of 395924224 is 422429593.

It is a super-3 number, since 3×395924224³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86604 + ... + 91060.

It is an arithmetic number, because the mean of its divisors is an integer number (22021034).

Almost surely, 2^395924224 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 395924224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396378612).

395924224 is an abundant number, since it is smaller than the sum of its proper divisors (396833000).

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

395924224 is an equidigital number, since it uses as much as digits as its factorization.

395924224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4820 (or 4806 counting only the distinct ones).

The product of its digits is 155520, while the sum is 40.

The square root of 395924224 is about 19897.8447074049. The cubic root of 395924224 is about 734.2952035681.

The spelling of 395924224 in words is "three hundred ninety-five million, nine hundred twenty-four thousand, two hundred twenty-four".