395379360 has 192 divisors, whose sum is σ = 1456963200. Its totient is φ = 99864576.

The previous prime is 395379349. The next prime is 395379371. The reversal of 395379360 is 63973593.

It is an interprime number because it is at equal distance from previous prime (395379349) and next prime (395379371).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 79672 + ... + 84488.

It is an arithmetic number, because the mean of its divisors is an integer number (7588350).

Almost surely, 2^395379360 is an apocalyptic number.

395379360 is a gapful number since it is divisible by the number (30) 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 395379360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728481600).

395379360 is an abundant number, since it is smaller than the sum of its proper divisors (1061583840).

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

395379360 is a wasteful number, since it uses less digits than its factorization.

395379360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4860 (or 4846 counting only the distinct ones).

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

The square root of 395379360 is about 19884.1484605200. The cubic root of 395379360 is about 733.9582075213.

The spelling of 395379360 in words is "three hundred ninety-five million, three hundred seventy-nine thousand, three hundred sixty".