395373456 has 45 divisors (see below), whose sum is σ = 1107164721. Its totient is φ = 131711616.

The previous prime is 395373401. The next prime is 395373467. The reversal of 395373456 is 654373593.

The square root of 395373456 is 19884.

It is a perfect power (a square), and thus also a powerful number.

395373456 is a `hidden beast` number, since 39 + 537 + 34 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 125888400 + 269485056 = 11220^2 + 16416^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 237780 + ... + 239436.

Almost surely, 2^395373456 is an apocalyptic number.

395373456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

395373456 is the 19884-th square number.

It is an amenable number.

395373456 is an abundant number, since it is smaller than the sum of its proper divisors (711791265).

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

395373456 is an equidigital number, since it uses as much as digits as its factorization.

395373456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328 (or 1662 counting only the distinct ones).

The product of its digits is 1020600, while the sum is 45.

The cubic root of 395373456 is about 733.9545542276.

The spelling of 395373456 in words is "three hundred ninety-five million, three hundred seventy-three thousand, four hundred fifty-six".