395474688 has 324 divisors, whose sum is σ = 1381318848. Its totient is φ = 108380160.

The previous prime is 395474687. The next prime is 395474707. The reversal of 395474688 is 886474593.

395474688 is a `hidden beast` number, since 3 + 95 + 474 + 6 + 88 = 666.

Its product of digits (5806080) is a multiple of the sum of its prime factors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395474687) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3499720 + ... + 3499832.

Almost surely, 2^395474688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395474688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690659424).

395474688 is an abundant number, since it is smaller than the sum of its proper divisors (985844160).

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

395474688 is a wasteful number, since it uses less digits than its factorization.

395474688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 156 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 395474688 is about 19886.5454013511. The cubic root of 395474688 is about 734.0171898159.

The spelling of 395474688 in words is "three hundred ninety-five million, four hundred seventy-four thousand, six hundred eighty-eight".