504321444 has 96 divisors (see below), whose sum is σ = 1431091200. Its totient is φ = 152318880.

The previous prime is 504321431. The next prime is 504321451. The reversal of 504321444 is 444123405.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521049 + ... + 522015.

It is an arithmetic number, because the mean of its divisors is an integer number (14907200).

Almost surely, 2^504321444 is an apocalyptic number.

504321444 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 504321444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715545600).

504321444 is an abundant number, since it is smaller than the sum of its proper divisors (926769756).

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

504321444 is a wasteful number, since it uses less digits than its factorization.

504321444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 504321444 is about 22457.1023063974. The cubic root of 504321444 is about 795.9805913468.

Adding to 504321444 its reverse (444123405), we get a palindrome (948444849).

The spelling of 504321444 in words is "five hundred four million, three hundred twenty-one thousand, four hundred forty-four".