395405360 has 160 divisors (see below), whose sum is σ = 1091930112. Its totient is φ = 130360320.

The previous prime is 395405357. The next prime is 395405383. The reversal of 395405360 is 63504593.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 395405360.

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, 2184470 + ... + 2184650.

Almost surely, 2^395405360 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 395405360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545965056).

395405360 is an abundant number, since it is smaller than the sum of its proper divisors (696524752).

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

395405360 is a wasteful number, since it uses less digits than its factorization.

395405360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 35.

The square root of 395405360 is about 19884.8022368843. The cubic root of 395405360 is about 733.9742954418.

The spelling of 395405360 in words is "three hundred ninety-five million, four hundred five thousand, three hundred sixty".