501424040 has 64 divisors (see below), whose sum is σ = 1227638160. Its totient is φ = 183214080.

The previous prime is 501424031. The next prime is 501424057. The reversal of 501424040 is 40424105.

It can be written as a sum of positive squares in 8 ways, for example, as 5827396 + 495596644 = 2414^2 + 22262^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45470 + ... + 55410.

Almost surely, 2^501424040 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 501424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613819080).

501424040 is an abundant number, since it is smaller than the sum of its proper divisors (726214120).

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

501424040 is a wasteful number, since it uses less digits than its factorization.

501424040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10062 (or 10058 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 501424040 is about 22392.4996371553. The cubic root of 501424040 is about 794.4533192953.

Adding to 501424040 its reverse (40424105), we get a palindrome (541848145).

The spelling of 501424040 in words is "five hundred one million, four hundred twenty-four thousand, forty".