504652632 has 64 divisors (see below), whose sum is σ = 1393804800. Its totient is φ = 150983040.

The previous prime is 504652619. The next prime is 504652639. The reversal of 504652632 is 236256405.

It is a super-3 number, since 3×504652632³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 504652593 and 504652602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504652639) 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, 8758 + ... + 32954.

It is an arithmetic number, because the mean of its divisors is an integer number (21778200).

Almost surely, 2^504652632 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 504652632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696902400).

504652632 is an abundant number, since it is smaller than the sum of its proper divisors (889152168).

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

504652632 is a wasteful number, since it uses less digits than its factorization.

504652632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24296 (or 24292 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 504652632 is about 22464.4748881428. The cubic root of 504652632 is about 796.1547934277.

The spelling of 504652632 in words is "five hundred four million, six hundred fifty-two thousand, six hundred thirty-two".