505244880 has 180 divisors, whose sum is σ = 1973943972. Its totient is φ = 115476480.

The previous prime is 505244869. The next prime is 505244897. The reversal of 505244880 is 88442505.

505244880 is a `hidden beast` number, since 50 + 524 + 4 + 8 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67765824 + 437479056 = 8232^2 + 20916^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28120 + ... + 42440.

Almost surely, 2^505244880 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 505244880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986971986).

505244880 is an abundant number, since it is smaller than the sum of its proper divisors (1468699092).

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

505244880 is a wasteful number, since it uses less digits than its factorization.

505244880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14354 (or 14338 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 505244880 is about 22477.6529023828. The cubic root of 505244880 is about 796.4661209423.

The spelling of 505244880 in words is "five hundred five million, two hundred forty-four thousand, eight hundred eighty".