505427664 has 160 divisors (see below), whose sum is σ = 1609896960. Its totient is φ = 133401600.

The previous prime is 505427647. The next prime is 505427669. The reversal of 505427664 is 466724505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505427669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260779 + ... + 262709.

It is an arithmetic number, because the mean of its divisors is an integer number (10061856).

Almost surely, 2^505427664 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 505427664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804948480).

505427664 is an abundant number, since it is smaller than the sum of its proper divisors (1104469296).

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

505427664 is a wasteful number, since it uses less digits than its factorization.

505427664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 505427664 is about 22481.7184396567. The cubic root of 505427664 is about 796.5621560314.

The spelling of 505427664 in words is "five hundred five million, four hundred twenty-seven thousand, six hundred sixty-four".