504643464 has 144 divisors (see below), whose sum is σ = 1504479600. Its totient is φ = 152710272.

The previous prime is 504643441. The next prime is 504643493. The reversal of 504643464 is 464346405.

504643464 is a `hidden beast` number, since 5 + 0 + 4 + 643 + 4 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 814947 + ... + 815565.

It is an arithmetic number, because the mean of its divisors is an integer number (10447775).

Almost surely, 2^504643464 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 504643464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752239800).

504643464 is an abundant number, since it is smaller than the sum of its proper divisors (999836136).

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

504643464 is a wasteful number, since it uses less digits than its factorization.

504643464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 504643464 is about 22464.2708317007. The cubic root of 504643464 is about 796.1499721632.

Adding to 504643464 its reverse (464346405), we get a palindrome (968989869).

The spelling of 504643464 in words is "five hundred four million, six hundred forty-three thousand, four hundred sixty-four".