395658432 has 336 divisors, whose sum is σ = 1346159360. Its totient is φ = 114213888.

The previous prime is 395658421. The next prime is 395658457. The reversal of 395658432 is 234856593.

395658432 is a `hidden beast` number, since 3 + 9 + 565 + 84 + 3 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (777600) is a multiple of the sum of its prime factors (162).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3841293 + ... + 3841395.

Almost surely, 2^395658432 is an apocalyptic number.

395658432 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 395658432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673079680).

395658432 is an abundant number, since it is smaller than the sum of its proper divisors (950500928).

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

395658432 is a wasteful number, since it uses less digits than its factorization.

395658432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 140 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 395658432 is about 19891.1646717833. The cubic root of 395658432 is about 734.1308510069.

The spelling of 395658432 in words is "three hundred ninety-five million, six hundred fifty-eight thousand, four hundred thirty-two".