504654433920 has 2304 divisors, whose sum is σ = 2381712076800. Its totient is φ = 100078239744.

The previous prime is 504654433883. The next prime is 504654433931. The reversal of 504654433920 is 29334456405.

504654433920 is a `hidden beast` number, since 50 + 4 + 6 + 544 + 3 + 39 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3973656897 + ... + 3973657023.

It is an arithmetic number, because the mean of its divisors is an integer number (1033729200).

Almost surely, 2^504654433920 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 504654433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190856038400).

504654433920 is an abundant number, since it is smaller than the sum of its proper divisors (1877057642880).

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

504654433920 is a wasteful number, since it uses less digits than its factorization.

504654433920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 504654433920 in words is "five hundred four billion, six hundred fifty-four million, four hundred thirty-three thousand, nine hundred twenty".