395632224 has 144 divisors (see below), whose sum is σ = 1219340304. Its totient is φ = 120960000.

The previous prime is 395632217. The next prime is 395632249. The reversal of 395632224 is 422236593.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 939534 + ... + 939954.

It is an arithmetic number, because the mean of its divisors is an integer number (8467641).

Almost surely, 2^395632224 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 395632224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609670152).

395632224 is an abundant number, since it is smaller than the sum of its proper divisors (823708080).

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

395632224 is a wasteful number, since it uses less digits than its factorization.

395632224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 690 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 395632224 is about 19890.5058759198. The cubic root of 395632224 is about 734.1146412961.

The spelling of 395632224 in words is "three hundred ninety-five million, six hundred thirty-two thousand, two hundred twenty-four".