395915520 has 576 divisors, whose sum is σ = 1714212864. Its totient is φ = 75202560.

The previous prime is 395915473. The next prime is 395915543. The reversal of 395915520 is 25519593.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3843789 + ... + 3843891.

It is an arithmetic number, because the mean of its divisors is an integer number (2976064).

Almost surely, 2^395915520 is an apocalyptic number.

395915520 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 395915520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857106432).

395915520 is an abundant number, since it is smaller than the sum of its proper divisors (1318297344).

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

395915520 is a wasteful number, since it uses less digits than its factorization.

395915520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 39.

The square root of 395915520 is about 19897.6259890470. The cubic root of 395915520 is about 734.2898226123.

The spelling of 395915520 in words is "three hundred ninety-five million, nine hundred fifteen thousand, five hundred twenty".