507584880 has 200 divisors, whose sum is σ = 1923452784. Its totient is φ = 123033600.

The previous prime is 507584851. The next prime is 507584887. The reversal of 507584880 is 88485705.

It is a super-2 number, since 2×507584880² = 515284820809228800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507584887) by changing a digit.

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, 67720 + ... + 74840.

Almost surely, 2^507584880 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 507584880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961726392).

507584880 is an abundant number, since it is smaller than the sum of its proper divisors (1415867904).

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

507584880 is a wasteful number, since it uses less digits than its factorization.

507584880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7157 (or 7142 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 507584880 is about 22529.6444712295. The cubic root of 507584880 is about 797.6938166193.

The spelling of 507584880 in words is "five hundred seven million, five hundred eighty-four thousand, eight hundred eighty".