407000007 has 24 divisors (see below), whose sum is σ = 640177200. Its totient is φ = 248185728.

The previous prime is 406999993. The next prime is 407000047. The reversal of 407000007 is 700000704.

It is not a de Polignac number, because 407000007 - 2¹¹ = 406997959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407000047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36078 + ... + 45995.

It is an arithmetic number, because the mean of its divisors is an integer number (26674050).

Almost surely, 2^407000007 is an apocalyptic number.

407000007 is a deficient number, since it is larger than the sum of its proper divisors (233177193).

407000007 is a wasteful number, since it uses less digits than its factorization.

407000007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82127 (or 82124 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 407000007 is about 20174.2411753206. The cubic root of 407000007 is about 741.0795097907.

The spelling of 407000007 in words is "four hundred seven million, seven", and thus it is an aban number.