504877632 has 112 divisors (see below), whose sum is σ = 1552773120. Its totient is φ = 141783552.

The previous prime is 504877631. The next prime is 504877643. The reversal of 504877632 is 236778405.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (504877631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76113 + ... + 82479.

Almost surely, 2^504877632 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 504877632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776386560).

504877632 is an abundant number, since it is smaller than the sum of its proper divisors (1047895488).

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

504877632 is a wasteful number, since it uses less digits than its factorization.

504877632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6448 (or 6438 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 504877632 is about 22469.4822370254. The cubic root of 504877632 is about 796.2730980470.

The spelling of 504877632 in words is "five hundred four million, eight hundred seventy-seven thousand, six hundred thirty-two".