504769120 has 48 divisors (see below), whose sum is σ = 1201955328. Its totient is φ = 200309760.

The previous prime is 504769073. The next prime is 504769129. The reversal of 504769120 is 21967405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504769129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7900 + ... + 32740.

It is an arithmetic number, because the mean of its divisors is an integer number (25040736).

Almost surely, 2^504769120 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 504769120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600977664).

504769120 is an abundant number, since it is smaller than the sum of its proper divisors (697186208).

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

504769120 is a wasteful number, since it uses less digits than its factorization.

504769120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24983 (or 24975 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 504769120 is about 22467.0674543875. The cubic root of 504769120 is about 796.2160470100.

The spelling of 504769120 in words is "five hundred four million, seven hundred sixty-nine thousand, one hundred twenty".