504155120 has 160 divisors (see below), whose sum is σ = 1440384000. Its totient is φ = 163586304.

The previous prime is 504155117. The next prime is 504155123. The reversal of 504155120 is 21551405.

Added to its reverse (21551405) it gives a triangular number (525706525 = T₃₂₄₂₅).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (504155117) and next prime (504155123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504155123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 520877 + ... + 521843.

It is an arithmetic number, because the mean of its divisors is an integer number (9002400).

Almost surely, 2^504155120 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 504155120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720192000).

504155120 is an abundant number, since it is smaller than the sum of its proper divisors (936228880).

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

504155120 is a wasteful number, since it uses less digits than its factorization.

504155120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 504155120 is about 22453.3988518442. The cubic root of 504155120 is about 795.8930775636.

Adding to 504155120 its reverse (21551405), we get a triangular number (525706525 = T₃₂₄₂₅).

The spelling of 504155120 in words is "five hundred four million, one hundred fifty-five thousand, one hundred twenty".