506460064 has 96 divisors (see below), whose sum is σ = 1121178240. Its totient is φ = 223257600.

The previous prime is 506460037. The next prime is 506460077. The reversal of 506460064 is 460064605.

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, 2211502 + ... + 2211730.

It is an arithmetic number, because the mean of its divisors is an integer number (11678940).

Almost surely, 2^506460064 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 506460064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560589120).

506460064 is an abundant number, since it is smaller than the sum of its proper divisors (614718176).

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

506460064 is a wasteful number, since it uses less digits than its factorization.

506460064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 506460064 is about 22504.6676047437. The cubic root of 506460064 is about 797.1041468581.

The spelling of 506460064 in words is "five hundred six million, four hundred sixty thousand, sixty-four".