504466080 has 96 divisors (see below), whose sum is σ = 1592244864. Its totient is φ = 134255616.

The previous prime is 504466073. The next prime is 504466099. The reversal of 504466080 is 80664405.

504466080 = 335² + 336² + ... + 1157².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 394402 + ... + 395678.

It is an arithmetic number, because the mean of its divisors is an integer number (16585884).

Almost surely, 2^504466080 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 504466080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796122432).

504466080 is an abundant number, since it is smaller than the sum of its proper divisors (1087778784).

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

504466080 is a wasteful number, since it uses less digits than its factorization.

504466080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 504466080 is about 22460.3223485328. The cubic root of 504466080 is about 796.0566780345.

The spelling of 504466080 in words is "five hundred four million, four hundred sixty-six thousand, eighty".