395966464 has 96 divisors (see below), whose sum is σ = 840294000. Its totient is φ = 186253312.

The previous prime is 395966423. The next prime is 395966471. The reversal of 395966464 is 464669593.

It is a super-2 number, since 2×395966464² = 313578881225326592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 3504072 + ... + 3504184.

Almost surely, 2^395966464 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 395966464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420147000).

395966464 is an abundant number, since it is smaller than the sum of its proper divisors (444327536).

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

395966464 is a wasteful number, since it uses less digits than its factorization.

395966464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 203 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 52.

The square root of 395966464 is about 19898.9061005875. The cubic root of 395966464 is about 734.3213159103.

The spelling of 395966464 in words is "three hundred ninety-five million, nine hundred sixty-six thousand, four hundred sixty-four".