395995392 has 270 divisors, whose sum is σ = 1289918322. Its totient is φ = 120766464.

The previous prime is 395995381. The next prime is 395995403. The reversal of 395995392 is 293599593.

It is an interprime number because it is at equal distance from previous prime (395995381) and next prime (395995403).

It can be written as a sum of positive squares in 3 ways, for example, as 40144896 + 355850496 = 6336^2 + 18864^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3504328 + ... + 3504440.

Almost surely, 2^395995392 is an apocalyptic number.

395995392 is a gapful number since it is divisible by the number (32) 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 395995392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644959161).

395995392 is an abundant number, since it is smaller than the sum of its proper divisors (893922930).

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

395995392 is a wasteful number, since it uses less digits than its factorization.

395995392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 131 counting only the distinct ones).

The product of its digits is 2952450, while the sum is 54.

The square root of 395995392 is about 19899.6329614393. The cubic root of 395995392 is about 734.3391978369.

The spelling of 395995392 in words is "three hundred ninety-five million, nine hundred ninety-five thousand, three hundred ninety-two".