395093376 has 160 divisors (see below), whose sum is σ = 1199642400. Its totient is φ = 129033216.

The previous prime is 395093351. The next prime is 395093381. The reversal of 395093376 is 673390593.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 549145 + ... + 549863.

It is an arithmetic number, because the mean of its divisors is an integer number (7497765).

Almost surely, 2^395093376 is an apocalyptic number.

395093376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395093376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599821200).

395093376 is an abundant number, since it is smaller than the sum of its proper divisors (804549024).

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

395093376 is an equidigital number, since it uses as much as digits as its factorization.

395093376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 45.

The square root of 395093376 is about 19876.9559037595. The cubic root of 395093376 is about 733.7812037340.

The spelling of 395093376 in words is "three hundred ninety-five million, ninety-three thousand, three hundred seventy-six".