504948444 has 192 divisors, whose sum is σ = 1599209472. Its totient is φ = 119750400.

The previous prime is 504948443. The next prime is 504948461. The reversal of 504948444 is 444849405.

It is a super-2 number, since 2×504948444² = 509945862196042272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 504948396 and 504948405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504948443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1525359 + ... + 1525689.

It is an arithmetic number, because the mean of its divisors is an integer number (8329216).

Almost surely, 2^504948444 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 504948444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799604736).

504948444 is an abundant number, since it is smaller than the sum of its proper divisors (1094261028).

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

504948444 is a wasteful number, since it uses less digits than its factorization.

504948444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 504948444 is about 22471.0579190211. The cubic root of 504948444 is about 796.3103236050.

It can be divided in two parts, 50 and 4948444, that added together give a palindrome (4948494).

The spelling of 504948444 in words is "five hundred four million, nine hundred forty-eight thousand, four hundred forty-four".