400407007 has 64 divisors (see below), whose sum is σ = 582220800. Its totient is φ = 265006080.

The previous prime is 400406987. The next prime is 400407011. The reversal of 400407007 is 700704004.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 400407007 - 2¹⁵ = 400374239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400407037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 703419 + ... + 703987.

It is an arithmetic number, because the mean of its divisors is an integer number (9097200).

Almost surely, 2^400407007 is an apocalyptic number.

400407007 is a deficient number, since it is larger than the sum of its proper divisors (181813793).

400407007 is a wasteful number, since it uses less digits than its factorization.

400407007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656.

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 400407007 is about 20010.1725879614. The cubic root of 400407007 is about 737.0561194499.

Adding to 400407007 its reverse (700704004), we get a palindrome (1101111011).

The spelling of 400407007 in words is "four hundred million, four hundred seven thousand, seven".