395425680 has 80 divisors (see below), whose sum is σ = 1320123840. Its totient is φ = 97334784.

The previous prime is 395425673. The next prime is 395425741. The reversal of 395425680 is 86524593.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×395425680² = 312722936806924800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60250 + ... + 66489.

It is an arithmetic number, because the mean of its divisors is an integer number (16501548).

Almost surely, 2^395425680 is an apocalyptic number.

395425680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

395425680 is an abundant number, since it is smaller than the sum of its proper divisors (924698160).

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

395425680 is a wasteful number, since it uses less digits than its factorization.

395425680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126768 (or 126762 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 395425680 is about 19885.3131732945. The cubic root of 395425680 is about 733.9868682794.

The spelling of 395425680 in words is "three hundred ninety-five million, four hundred twenty-five thousand, six hundred eighty".