395587920 has 320 divisors, whose sum is σ = 1539901440. Its totient is φ = 81782784.

The previous prime is 395587889. The next prime is 395587937. The reversal of 395587920 is 29785593.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 395587920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1288407 + ... + 1288713.

It is an arithmetic number, because the mean of its divisors is an integer number (4812192).

Almost surely, 2^395587920 is an apocalyptic number.

395587920 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 395587920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769950720).

395587920 is an abundant number, since it is smaller than the sum of its proper divisors (1144313520).

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

395587920 is a wasteful number, since it uses less digits than its factorization.

395587920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The square root of 395587920 is about 19889.3921475745. The cubic root of 395587920 is about 734.0872375381.

The spelling of 395587920 in words is "three hundred ninety-five million, five hundred eighty-seven thousand, nine hundred twenty".