407681 has 4 divisors (see below), whose sum is σ = 420864. Its totient is φ = 394500.

The previous prime is 407669. The next prime is 407699. The reversal of 407681 is 186704.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-407681 is a prime.

It is a super-2 number, since 2×407681² = 332407595522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 407681.

It is not an unprimeable number, because it can be changed into a prime (407621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6545 + ... + 6606.

It is an arithmetic number, because the mean of its divisors is an integer number (105216).

2⁴⁰⁷⁶⁸¹ is an apocalyptic number.

It is an amenable number.

407681 is a deficient number, since it is larger than the sum of its proper divisors (13183).

407681 is a wasteful number, since it uses less digits than its factorization.

407681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13182.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 407681 is about 638.4990211426. The cubic root of 407681 is about 74.1492604582.

The spelling of 407681 in words is "four hundred seven thousand, six hundred eighty-one".