395052672 has 256 divisors, whose sum is σ = 1269043200. Its totient is φ = 106549248.

The previous prime is 395052659. The next prime is 395052683. The reversal of 395052672 is 276250593.

It is a super-2 number, since 2×395052672² = 312133227308679168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 395052672.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6695779 + ... + 6695837.

It is an arithmetic number, because the mean of its divisors is an integer number (4957200).

Almost surely, 2^395052672 is an apocalyptic number.

395052672 is a gapful number since it is divisible by the number (32) 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 395052672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634521600).

395052672 is an abundant number, since it is smaller than the sum of its proper divisors (873990528).

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

395052672 is a wasteful number, since it uses less digits than its factorization.

395052672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 395052672 is about 19875.9319781488. The cubic root of 395052672 is about 733.7560039056.

The spelling of 395052672 in words is "three hundred ninety-five million, fifty-two thousand, six hundred seventy-two".