395245872 has 160 divisors (see below), whose sum is σ = 1341580800. Its totient is φ = 109009152.

The previous prime is 395245861. The next prime is 395245891. The reversal of 395245872 is 278542593.

395245872 is a `hidden beast` number, since 3 + 9 + 524 + 58 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85443 + ... + 89949.

It is an arithmetic number, because the mean of its divisors is an integer number (8384880).

Almost surely, 2^395245872 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 395245872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670790400).

395245872 is an abundant number, since it is smaller than the sum of its proper divisors (946334928).

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

395245872 is a wasteful number, since it uses less digits than its factorization.

395245872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4560 (or 4548 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 395245872 is about 19880.7915335381. The cubic root of 395245872 is about 733.8755985544.

The spelling of 395245872 in words is "three hundred ninety-five million, two hundred forty-five thousand, eight hundred seventy-two".