395292960 has 168 divisors, whose sum is σ = 1400592060. Its totient is φ = 105380352.

The previous prime is 395292949. The next prime is 395292971. The reversal of 395292960 is 69292593.

395292960 is a `hidden beast` number, since 39 + 529 + 2 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (395292949) and next prime (395292971).

It can be written as a sum of positive squares in 2 ways, for example, as 373726224 + 21566736 = 19332^2 + 4644^2 .

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 27 ways as a sum of consecutive naturals, for example, 114946 + ... + 118334.

Almost surely, 2^395292960 is an apocalyptic number.

395292960 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 395292960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700296030).

395292960 is an abundant number, since it is smaller than the sum of its proper divisors (1005299100).

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

395292960 is an equidigital number, since it uses as much as digits as its factorization.

395292960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 395292960 is about 19881.9757569513. The cubic root of 395292960 is about 733.9047410574.

The spelling of 395292960 in words is "three hundred ninety-five million, two hundred ninety-two thousand, nine hundred sixty".