405004007406 has 32 divisors (see below), whose sum is σ = 815131981440. Its totient is φ = 134147656224.

The previous prime is 405004007389. The next prime is 405004007407. The reversal of 405004007406 is 604700400504.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405004007407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5521540 + ... + 5594408.

It is an arithmetic number, because the mean of its divisors is an integer number (25472874420).

Almost surely, 2^405004007406 is an apocalyptic number.

405004007406 is an abundant number, since it is smaller than the sum of its proper divisors (410127974034).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

405004007406 is a wasteful number, since it uses less digits than its factorization.

405004007406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78720.

The product of its (nonzero) digits is 13440, while the sum is 30.

The spelling of 405004007406 in words is "four hundred five billion, four million, seven thousand, four hundred six".