504114436 has 48 divisors (see below), whose sum is σ = 1044126720. Its totient is φ = 208402560.

The previous prime is 504114419. The next prime is 504114439. The reversal of 504114436 is 634411405.

It is a super-3 number, since 3×504114436³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (504114439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336906 + ... + 338398.

It is an arithmetic number, because the mean of its divisors is an integer number (21752640).

Almost surely, 2^504114436 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 504114436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522063360).

504114436 is an abundant number, since it is smaller than the sum of its proper divisors (540012284).

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

504114436 is a wasteful number, since it uses less digits than its factorization.

504114436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 504114436 is about 22452.4928682763. The cubic root of 504114436 is about 795.8716681576.

The spelling of 504114436 in words is "five hundred four million, one hundred fourteen thousand, four hundred thirty-six".