405256878 has 64 divisors (see below), whose sum is σ = 976288320. Its totient is φ = 123866496.

The previous prime is 405256867. The next prime is 405256913. The reversal of 405256878 is 878652504.

405256878 is a `hidden beast` number, since 40 + 525 + 6 + 87 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 108376 + ... + 112052.

It is an arithmetic number, because the mean of its divisors is an integer number (15254505).

Almost surely, 2^405256878 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405256878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488144160).

405256878 is an abundant number, since it is smaller than the sum of its proper divisors (571031442).

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

405256878 is a wasteful number, since it uses less digits than its factorization.

405256878 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3858 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 405256878 is about 20130.9929710385. The cubic root of 405256878 is about 740.0200128505.

The spelling of 405256878 in words is "four hundred five million, two hundred fifty-six thousand, eight hundred seventy-eight".