504529344 has 336 divisors, whose sum is σ = 1729638400. Its totient is φ = 143700480.

The previous prime is 504529331. The next prime is 504529351. The reversal of 504529344 is 443925405.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 504529299 and 504529308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3972609 + ... + 3972735.

Almost surely, 2^504529344 is an apocalyptic number.

504529344 is a gapful number since it is divisible by the number (54) 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 504529344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864819200).

504529344 is an abundant number, since it is smaller than the sum of its proper divisors (1225109056).

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

504529344 is a wasteful number, since it uses less digits than its factorization.

504529344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 504529344 is about 22461.7306546045. The cubic root of 504529344 is about 796.0899538923.

The spelling of 504529344 in words is "five hundred four million, five hundred twenty-nine thousand, three hundred forty-four".