504226944 has 384 divisors, whose sum is σ = 1715313600. Its totient is φ = 146313216.

The previous prime is 504226913. The next prime is 504226949. The reversal of 504226944 is 449622405.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×504226944² = 508489622111158272, which contains 22 as substring.

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 = 504226899 and 504226908.

It is not an unprimeable number, because it can be changed into a prime (504226949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11726187 + ... + 11726229.

Almost surely, 2^504226944 is an apocalyptic number.

504226944 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 504226944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857656800).

504226944 is an abundant number, since it is smaller than the sum of its proper divisors (1211086656).

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

504226944 is a wasteful number, since it uses less digits than its factorization.

504226944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 504226944 is about 22454.9981963927. The cubic root of 504226944 is about 795.9308711631.

The spelling of 504226944 in words is "five hundred four million, two hundred twenty-six thousand, nine hundred forty-four".