505478880 has 144 divisors (see below), whose sum is σ = 1788971184. Its totient is φ = 134784000.

The previous prime is 505478851. The next prime is 505478933. The reversal of 505478880 is 88874505.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32380 + ... + 45380.

It is an arithmetic number, because the mean of its divisors is an integer number (12423411).

Almost surely, 2^505478880 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 505478880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894485592).

505478880 is an abundant number, since it is smaller than the sum of its proper divisors (1283492304).

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

505478880 is a wasteful number, since it uses less digits than its factorization.

505478880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13031 (or 13011 counting only the distinct ones).

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

The square root of 505478880 is about 22482.8574696367. The cubic root of 505478880 is about 796.5890608702.

The spelling of 505478880 in words is "five hundred five million, four hundred seventy-eight thousand, eight hundred eighty".