395561472 has 160 divisors (see below), whose sum is σ = 1108375488. Its totient is φ = 125239296.

The previous prime is 395561459. The next prime is 395561473. The reversal of 395561472 is 274165593.

It is not an unprimeable number, because it can be changed into a prime (395561473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3500488 + ... + 3500600.

Almost surely, 2^395561472 is an apocalyptic number.

395561472 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 395561472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554187744).

395561472 is an abundant number, since it is smaller than the sum of its proper divisors (712814016).

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

395561472 is a wasteful number, since it uses less digits than its factorization.

395561472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 214 counting only the distinct ones).

The product of its digits is 226800, while the sum is 42.

The square root of 395561472 is about 19888.7272594302. The cubic root of 395561472 is about 734.0708774397.

The spelling of 395561472 in words is "three hundred ninety-five million, five hundred sixty-one thousand, four hundred seventy-two".