501312240 has 400 divisors, whose sum is σ = 2049306336. Its totient is φ = 111974400.

The previous prime is 501312211. The next prime is 501312247. The reversal of 501312240 is 42213105.

501312240 is a `hidden beast` number, since 501 + 3 + 122 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501312247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 926370 + ... + 926910.

Almost surely, 2^501312240 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 501312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024653168).

501312240 is an abundant number, since it is smaller than the sum of its proper divisors (1547994096).

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

501312240 is a wasteful number, since it uses less digits than its factorization.

501312240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 501312240 is about 22390.0031263955. The cubic root of 501312240 is about 794.3942698175.

Adding to 501312240 its reverse (42213105), we get a palindrome (543525345).

The spelling of 501312240 in words is "five hundred one million, three hundred twelve thousand, two hundred forty".