505441344 has 112 divisors (see below), whose sum is σ = 1415288000. Its totient is φ = 158754816.

The previous prime is 505441309. The next prime is 505441351. The reversal of 505441344 is 443144505.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1272954 + ... + 1273350.

It is an arithmetic number, because the mean of its divisors is an integer number (12636500).

Almost surely, 2^505441344 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 505441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707644000).

505441344 is an abundant number, since it is smaller than the sum of its proper divisors (909846656).

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

505441344 is a wasteful number, since it uses less digits than its factorization.

505441344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 505441344 is about 22482.0226848031. The cubic root of 505441344 is about 796.5693426002.

Adding to 505441344 its reverse (443144505), we get a palindrome (948585849).

The spelling of 505441344 in words is "five hundred five million, four hundred forty-one thousand, three hundred forty-four".