395464860 has 144 divisors (see below), whose sum is σ = 1443187200. Its totient is φ = 85629312.

The previous prime is 395464859. The next prime is 395464889. The reversal of 395464860 is 68464593.

395464860 is a `hidden beast` number, since 3 + 9 + 546 + 48 + 60 = 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, 15681 + ... + 32199.

Almost surely, 2^395464860 is an apocalyptic number.

395464860 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 395464860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721593600).

395464860 is an abundant number, since it is smaller than the sum of its proper divisors (1047722340).

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

395464860 is a wasteful number, since it uses less digits than its factorization.

395464860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16560 (or 16555 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 395464860 is about 19886.2982980745. The cubic root of 395464860 is about 734.0111093756.

The spelling of 395464860 in words is "three hundred ninety-five million, four hundred sixty-four thousand, eight hundred sixty".