506738448 has 120 divisors (see below), whose sum is σ = 1508628888. Its totient is φ = 158232576.

The previous prime is 506738429. The next prime is 506738497. The reversal of 506738448 is 844837605.

It can be written as a sum of positive squares in 4 ways, for example, as 8020224 + 498718224 = 2832^2 + 22332^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 775690 + ... + 776342.

Almost surely, 2^506738448 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 506738448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754314444).

506738448 is an abundant number, since it is smaller than the sum of its proper divisors (1001890440).

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

506738448 is a wasteful number, since it uses less digits than its factorization.

506738448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 506738448 is about 22510.8517830845. The cubic root of 506738448 is about 797.2501671874.

The spelling of 506738448 in words is "five hundred six million, seven hundred thirty-eight thousand, four hundred forty-eight".