505932448 has 72 divisors (see below), whose sum is σ = 1164561300. Its totient is φ = 215728128.

The previous prime is 505932443. The next prime is 505932523. The reversal of 505932448 is 844239505.

It can be written as a sum of positive squares in 2 ways, for example, as 503015184 + 2917264 = 22428^2 + 1708^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 505932448.

It is not an unprimeable number, because it can be changed into a prime (505932443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 358368 + ... + 359776.

Almost surely, 2^505932448 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 505932448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582280650).

505932448 is an abundant number, since it is smaller than the sum of its proper divisors (658628852).

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

505932448 is a wasteful number, since it uses less digits than its factorization.

505932448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The square root of 505932448 is about 22492.9421819379. The cubic root of 505932448 is about 796.8272503758.

The spelling of 505932448 in words is "five hundred five million, nine hundred thirty-two thousand, four hundred forty-eight".