407004561 has 16 divisors (see below), whose sum is σ = 606038400. Its totient is φ = 269955504.

The previous prime is 407004557. The next prime is 407004569. The reversal of 407004561 is 165400704.

It is not a de Polignac number, because 407004561 - 2² = 407004557 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (407004569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32941 + ... + 43578.

It is an arithmetic number, because the mean of its divisors is an integer number (37877400).

Almost surely, 2^407004561 is an apocalyptic number.

It is an amenable number.

407004561 is a deficient number, since it is larger than the sum of its proper divisors (199033839).

407004561 is a wasteful number, since it uses less digits than its factorization.

407004561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76725 (or 76719 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 407004561 is about 20174.3540417035. The cubic root of 407004561 is about 741.0822738066.

The spelling of 407004561 in words is "four hundred seven million, four thousand, five hundred sixty-one".