506288480 has 24 divisors (see below), whose sum is σ = 1196106912. Its totient is φ = 202515328.

The previous prime is 506288473. The next prime is 506288483. The reversal of 506288480 is 84882605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506288483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1581992 + ... + 1582311.

It is an arithmetic number, because the mean of its divisors is an integer number (49837788).

Almost surely, 2^506288480 is an apocalyptic number.

It is an amenable number.

506288480 is an abundant number, since it is smaller than the sum of its proper divisors (689818432).

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

506288480 is a wasteful number, since it uses less digits than its factorization.

506288480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3164318 (or 3164310 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The square root of 506288480 is about 22500.8550948625. The cubic root of 506288480 is about 797.0141195120.

The spelling of 506288480 in words is "five hundred six million, two hundred eighty-eight thousand, four hundred eighty".