405256872 has 128 divisors (see below), whose sum is σ = 1093305600. Its totient is φ = 124895232.

The previous prime is 405256867. The next prime is 405256913. The reversal of 405256872 is 278652504.

It is a self number, because there is not a number n which added to its sum of digits gives 405256872.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3586288 + ... + 3586400.

It is an arithmetic number, because the mean of its divisors is an integer number (8541450).

Almost surely, 2^405256872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405256872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546652800).

405256872 is an abundant number, since it is smaller than the sum of its proper divisors (688048728).

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

405256872 is a wasteful number, since it uses less digits than its factorization.

405256872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 405256872 is about 20130.9928220145. The cubic root of 405256872 is about 740.0200091984.

The spelling of 405256872 in words is "four hundred five million, two hundred fifty-six thousand, eight hundred seventy-two".