504954468 has 72 divisors (see below), whose sum is σ = 1354986360. Its totient is φ = 158008320.

The previous prime is 504954433. The next prime is 504954473. The reversal of 504954468 is 864459405.

504954468 is a `hidden beast` number, since 5 + 0 + 49 + 544 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 285677604 + 219276864 = 16902^2 + 14808^2 .

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, 310698 + ... + 312318.

It is an arithmetic number, because the mean of its divisors is an integer number (18819255).

Almost surely, 2^504954468 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 504954468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677493180).

504954468 is an abundant number, since it is smaller than the sum of its proper divisors (850031892).

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

504954468 is a wasteful number, since it uses less digits than its factorization.

504954468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 504954468 is about 22471.1919577044. The cubic root of 504954468 is about 796.3134902348.

The spelling of 504954468 in words is "five hundred four million, nine hundred fifty-four thousand, four hundred sixty-eight".