505904256 has 384 divisors, whose sum is σ = 1777688640. Its totient is φ = 136028160.

The previous prime is 505904249. The next prime is 505904257. The reversal of 505904256 is 652409505.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 505904256.

It is not an unprimeable number, because it can be changed into a prime (505904257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6095191 + ... + 6095273.

Almost surely, 2^505904256 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 505904256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888844320).

505904256 is an abundant number, since it is smaller than the sum of its proper divisors (1271784384).

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

505904256 is a wasteful number, since it uses less digits than its factorization.

505904256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 505904256 is about 22492.3154877394. The cubic root of 505904256 is about 796.8124496047.

The spelling of 505904256 in words is "five hundred five million, nine hundred four thousand, two hundred fifty-six".