504655632 has 180 divisors, whose sum is σ = 1553153940. Its totient is φ = 152875008.

The previous prime is 504655631. The next prime is 504655639. The reversal of 504655632 is 236556405.

It is a happy number.

504655632 is a `hidden beast` number, since 50 + 46 + 5 + 563 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 217149696 + 287505936 = 14736^2 + 16956^2 .

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

It is not an unprimeable number, because it can be changed into a prime (504655631) 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 35 ways as a sum of consecutive naturals, for example, 2165788 + ... + 2166020.

It is an arithmetic number, because the mean of its divisors is an integer number (8628633).

Almost surely, 2^504655632 is an apocalyptic number.

504655632 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504655632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776576970).

504655632 is an abundant number, since it is smaller than the sum of its proper divisors (1048498308).

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

504655632 is a wasteful number, since it uses less digits than its factorization.

504655632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 504655632 is about 22464.5416601363. The cubic root of 504655632 is about 796.1563710539.

The spelling of 504655632 in words is "five hundred four million, six hundred fifty-five thousand, six hundred thirty-two".