501749248 has 240 divisors, whose sum is σ = 1371474720. Its totient is φ = 178421760.

The previous prime is 501749243. The next prime is 501749249. The reversal of 501749248 is 842947105.

It is a self number, because there is not a number n which added to its sum of digits gives 501749248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501749243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5637588 + ... + 5637676.

It is an arithmetic number, because the mean of its divisors is an integer number (5714478).

Almost surely, 2^501749248 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 501749248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685737360).

501749248 is an abundant number, since it is smaller than the sum of its proper divisors (869725472).

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

501749248 is a wasteful number, since it uses less digits than its factorization.

501749248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 501749248 is about 22399.7599987143. The cubic root of 501749248 is about 794.6250347292.

The spelling of 501749248 in words is "five hundred one million, seven hundred forty-nine thousand, two hundred forty-eight".