504550944 has 120 divisors (see below), whose sum is σ = 1524264588. Its totient is φ = 163607040.

The previous prime is 504550933. The next prime is 504550967. The reversal of 504550944 is 449055405.

It can be written as a sum of positive squares in 2 ways, for example, as 443523600 + 61027344 = 21060^2 + 7812^2 .

It is a super-3 number, since 3×504550944³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 504550899 and 504550908.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 93274 + ... + 98534.

Almost surely, 2^504550944 is an apocalyptic number.

504550944 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 504550944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762132294).

504550944 is an abundant number, since it is smaller than the sum of its proper divisors (1019713644).

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

504550944 is a wasteful number, since it uses less digits than its factorization.

504550944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5320 (or 5303 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 504550944 is about 22462.2114672621. The cubic root of 504550944 is about 796.1013145117.

The spelling of 504550944 in words is "five hundred four million, five hundred fifty thousand, nine hundred forty-four".