395426520 has 96 divisors (see below), whose sum is σ = 1287720720. Its totient is φ = 105235200.

The previous prime is 395426519. The next prime is 395426527. The reversal of 395426520 is 25624593.

395426520 is a `hidden beast` number, since 3 + 95 + 42 + 6 + 520 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395426527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271795 + ... + 273245.

Almost surely, 2^395426520 is an apocalyptic number.

395426520 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 395426520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643860360).

395426520 is an abundant number, since it is smaller than the sum of its proper divisors (892294200).

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

395426520 is a wasteful number, since it uses less digits than its factorization.

395426520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 395426520 is about 19885.3342943990. The cubic root of 395426520 is about 733.9873880135.

The spelling of 395426520 in words is "three hundred ninety-five million, four hundred twenty-six thousand, five hundred twenty".