396085768 has 32 divisors (see below), whose sum is σ = 802128600. Its totient is φ = 182274048.

The previous prime is 396085763. The next prime is 396085847. The reversal of 396085768 is 867580693.

It can be written as a sum of positive squares in 4 ways, for example, as 247684644 + 148401124 = 15738^2 + 12182^2 .

It is a super-2 number, since 2×396085768² = 313767871224299648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (396085763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31318 + ... + 42106.

Almost surely, 2^396085768 is an apocalyptic number.

It is an amenable number.

396085768 is an abundant number, since it is smaller than the sum of its proper divisors (406042832).

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

396085768 is a wasteful number, since it uses less digits than its factorization.

396085768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11161 (or 11157 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The square root of 396085768 is about 19901.9036275428. The cubic root of 396085768 is about 734.3950584121.

The spelling of 396085768 in words is "three hundred ninety-six million, eighty-five thousand, seven hundred sixty-eight".