504413820 has 144 divisors (see below), whose sum is σ = 1606288320. Its totient is φ = 127948800.

The previous prime is 504413813. The next prime is 504413831. The reversal of 504413820 is 28314405.

504413820 is a `hidden beast` number, since 504 + 4 + 138 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369940 + ... + 371300.

It is an arithmetic number, because the mean of its divisors is an integer number (11154780).

Almost surely, 2^504413820 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 504413820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803144160).

504413820 is an abundant number, since it is smaller than the sum of its proper divisors (1101874500).

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

504413820 is a wasteful number, since it uses less digits than its factorization.

504413820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 504413820 is about 22459.1589334953. The cubic root of 504413820 is about 796.0291880074.

The spelling of 504413820 in words is "five hundred four million, four hundred thirteen thousand, eight hundred twenty".