407964007 has 8 divisors (see below), whose sum is σ = 450414720. Its totient is φ = 366407160.

The previous prime is 407963993. The next prime is 407964019. The reversal of 407964007 is 700469704.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 407964007 - 2²⁷ = 273746279 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407964097) 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, 222507 + ... + 224332.

It is an arithmetic number, because the mean of its divisors is an integer number (56301840).

Almost surely, 2^407964007 is an apocalyptic number.

407964007 is a deficient number, since it is larger than the sum of its proper divisors (42450713).

407964007 is a wasteful number, since it uses less digits than its factorization.

407964007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446933.

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 407964007 is about 20198.1188975607. The cubic root of 407964007 is about 741.6641431608.

It can be divided in two parts, 4079 and 64007, that added together give a palindrome (68086).

The spelling of 407964007 in words is "four hundred seven million, nine hundred sixty-four thousand, seven".