395142924 has 72 divisors (see below), whose sum is σ = 1066851520. Its totient is φ = 113430240.

The previous prime is 395142919. The next prime is 395142949. The reversal of 395142924 is 429241593.

It is a super-2 number, since 2×395142924² = 312275860774539552, which contains 22 as substring.

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, 20427 + ... + 34749.

Almost surely, 2^395142924 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 395142924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533425760).

395142924 is an abundant number, since it is smaller than the sum of its proper divisors (671708596).

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

395142924 is a wasteful number, since it uses less digits than its factorization.

395142924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14371 (or 14358 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 395142924 is about 19878.2022325964. The cubic root of 395142924 is about 733.8118765433.

The spelling of 395142924 in words is "three hundred ninety-five million, one hundred forty-two thousand, nine hundred twenty-four".