505856064 has 112 divisors (see below), whose sum is σ = 1547164800. Its totient is φ = 142872576.

The previous prime is 505856027. The next prime is 505856083. The reversal of 505856064 is 460658505.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117502 + ... + 121730.

Almost surely, 2^505856064 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 505856064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773582400).

505856064 is an abundant number, since it is smaller than the sum of its proper divisors (1041308736).

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

505856064 is a wasteful number, since it uses less digits than its factorization.

505856064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4340 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 505856064 is about 22491.2441630071. The cubic root of 505856064 is about 796.7871475806.

The spelling of 505856064 in words is "five hundred five million, eight hundred fifty-six thousand, sixty-four".