504622944 has 144 divisors (see below), whose sum is σ = 1711487232. Its totient is φ = 137896704.

The previous prime is 504622933. The next prime is 504622949. The reversal of 504622944 is 449226405.

504622944 is a `hidden beast` number, since 504 + 62 + 2 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×504622944² = 509288631222454272, 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 = 504622899 and 504622908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504622949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40927 + ... + 51809.

It is an arithmetic number, because the mean of its divisors is an integer number (11885328).

Almost surely, 2^504622944 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 504622944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855743616).

504622944 is an abundant number, since it is smaller than the sum of its proper divisors (1206864288).

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

504622944 is a wasteful number, since it uses less digits than its factorization.

504622944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10929 (or 10918 counting only the distinct ones).

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

The square root of 504622944 is about 22463.8141017949. The cubic root of 504622944 is about 796.1391809017.

The spelling of 504622944 in words is "five hundred four million, six hundred twenty-two thousand, nine hundred forty-four".