395904720 has 160 divisors (see below), whose sum is σ = 1279918080. Its totient is φ = 101122560.

The previous prime is 395904709. The next prime is 395904731. The reversal of 395904720 is 27409593.

It is an interprime number because it is at equal distance from previous prime (395904709) and next prime (395904731).

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 31 ways as a sum of consecutive naturals, for example, 944671 + ... + 945089.

It is an arithmetic number, because the mean of its divisors is an integer number (7999488).

Almost surely, 2^395904720 is an apocalyptic number.

395904720 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 395904720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639959040).

395904720 is an abundant number, since it is smaller than the sum of its proper divisors (884013360).

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

395904720 is a wasteful number, since it uses less digits than its factorization.

395904720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 395904720 is about 19897.3545980364. The cubic root of 395904720 is about 734.2831457652.

The spelling of 395904720 in words is "three hundred ninety-five million, nine hundred four thousand, seven hundred twenty".