395255520 has 144 divisors (see below), whose sum is σ = 1471487472. Its totient is φ = 95815680.

The previous prime is 395255519. The next prime is 395255533. The reversal of 395255520 is 25552593.

395255520 is a `hidden beast` number, since 39 + 52 + 55 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3364 + ... + 28316.

It is an arithmetic number, because the mean of its divisors is an integer number (10218663).

Almost surely, 2^395255520 is an apocalyptic number.

395255520 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 395255520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735743736).

395255520 is an abundant number, since it is smaller than the sum of its proper divisors (1076231952).

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

395255520 is a wasteful number, since it uses less digits than its factorization.

395255520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24985 (or 24974 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The square root of 395255520 is about 19881.0341783319. The cubic root of 395255520 is about 733.8815698368.

The spelling of 395255520 in words is "three hundred ninety-five million, two hundred fifty-five thousand, five hundred twenty".