506988720 has 200 divisors, whose sum is σ = 2012576544. Its totient is φ = 115872768.

The previous prime is 506988719. The next prime is 506988731. The reversal of 506988720 is 27889605.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 39772 + ... + 50948.

Almost surely, 2^506988720 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 506988720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006288272).

506988720 is an abundant number, since it is smaller than the sum of its proper divisors (1505587824).

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

506988720 is a wasteful number, since it uses less digits than its factorization.

506988720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11209 (or 11194 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 506988720 is about 22516.4100158085. The cubic root of 506988720 is about 797.3813963289.

The spelling of 506988720 in words is "five hundred six million, nine hundred eighty-eight thousand, seven hundred twenty".