505440324 has 45 divisors (see below), whose sum is σ = 1322379597. Its totient is φ = 168345216.

The previous prime is 505440319. The next prime is 505440329. The reversal of 505440324 is 423044505.

The square root of 505440324 is 22482.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (505440319) and next prime (505440329).

It can be written as a sum of positive squares in only one way, i.e., 206841924 + 298598400 = 14382^2 + 17280^2 .

It is a super-2 number, since 2×505440324² = 510939842250449952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (505440329) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 404052 + ... + 405300.

Almost surely, 2^505440324 is an apocalyptic number.

505440324 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

505440324 is the 22482-nd square number.

It is an amenable number.

505440324 is an abundant number, since it is smaller than the sum of its proper divisors (816939273).

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

505440324 is an equidigital number, since it uses as much as digits as its factorization.

505440324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The cubic root of 505440324 is about 796.5688067640.

Adding to 505440324 its reverse (423044505), we get a palindrome (928484829).

The spelling of 505440324 in words is "five hundred five million, four hundred forty thousand, three hundred twenty-four".