395531520 has 288 divisors, whose sum is σ = 1372194432. Its totient is φ = 96731136.

The previous prime is 395531489. The next prime is 395531533. The reversal of 395531520 is 25135593.

It is a congruent number.

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, 4765399 + ... + 4765481.

It is an arithmetic number, because the mean of its divisors is an integer number (4764564).

Almost surely, 2^395531520 is an apocalyptic number.

395531520 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 395531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686097216).

395531520 is an abundant number, since it is smaller than the sum of its proper divisors (976662912).

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

395531520 is a wasteful number, since it uses less digits than its factorization.

395531520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 33.

The square root of 395531520 is about 19887.9742558160. The cubic root of 395531520 is about 734.0523489703.

The spelling of 395531520 in words is "three hundred ninety-five million, five hundred thirty-one thousand, five hundred twenty".