407568 has 40 divisors (see below), whose sum is σ = 1204288. Its totient is φ = 116352.

The previous prime is 407567. The next prime is 407573. The reversal of 407568 is 865704.

It is a happy number.

It is a super-2 number, since 2×407568² = 332223349248, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407567) 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, 271 + ... + 942.

2⁴⁰⁷⁵⁶⁸ is an apocalyptic number.

407568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

407568 is an abundant number, since it is smaller than the sum of its proper divisors (796720).

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

407568 is a wasteful number, since it uses less digits than its factorization.

407568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 407568 is about 638.4105262290. The cubic root of 407568 is about 74.1424089896.

The spelling of 407568 in words is "four hundred seven thousand, five hundred sixty-eight".