395919540 has 144 divisors (see below), whose sum is σ = 1251065088. Its totient is φ = 101267712.

The previous prime is 395919529. The next prime is 395919583. The reversal of 395919540 is 45919593.

It is a happy number.

395919540 is a `hidden beast` number, since 3 + 9 + 591 + 9 + 54 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447939 + ... + 448821.

It is an arithmetic number, because the mean of its divisors is an integer number (8687952).

Almost surely, 2^395919540 is an apocalyptic number.

395919540 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 395919540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625532544).

395919540 is an abundant number, since it is smaller than the sum of its proper divisors (855145548).

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

395919540 is a wasteful number, since it uses less digits than its factorization.

395919540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 395919540 is about 19897.7270058668. The cubic root of 395919540 is about 734.2923078522.

The spelling of 395919540 in words is "three hundred ninety-five million, nine hundred nineteen thousand, five hundred forty".