501314880 has 224 divisors, whose sum is σ = 1797344640. Its totient is φ = 117268480.

The previous prime is 501314873. The next prime is 501314881. The reversal of 501314880 is 88413105.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501314881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305422 + ... + 307058.

It is an arithmetic number, because the mean of its divisors is an integer number (8023860).

Almost surely, 2^501314880 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 501314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898672320).

501314880 is an abundant number, since it is smaller than the sum of its proper divisors (1296029760).

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

501314880 is a wasteful number, since it uses less digits than its factorization.

501314880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 501314880 is about 22390.0620812002. The cubic root of 501314880 is about 794.3956642892.

Adding to 501314880 its reverse (88413105), we get a palindrome (589727985).

The spelling of 501314880 in words is "five hundred one million, three hundred fourteen thousand, eight hundred eighty".