504778120 has 192 divisors, whose sum is σ = 1461680640. Its totient is φ = 153500160.

The previous prime is 504778091. The next prime is 504778123. The reversal of 504778120 is 21877405.

504778120 = T₂₃₉ + T₂₄₀ + ... + T₁₄₄₈.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504778123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1592202 + ... + 1592518.

It is an arithmetic number, because the mean of its divisors is an integer number (7612920).

Almost surely, 2^504778120 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 504778120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730840320).

504778120 is an abundant number, since it is smaller than the sum of its proper divisors (956902520).

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

504778120 is a wasteful number, since it uses less digits than its factorization.

504778120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 504778120 is about 22467.2677466576. The cubic root of 504778120 is about 796.2207791417.

The spelling of 504778120 in words is "five hundred four million, seven hundred seventy-eight thousand, one hundred twenty".