504122220 has 144 divisors (see below), whose sum is σ = 1780833600. Its totient is φ = 113038848.

The previous prime is 504122207. The next prime is 504122221. The reversal of 504122220 is 22221405.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 504122193 and 504122202.

It is not an unprimeable number, because it can be changed into a prime (504122221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63006 + ... + 70554.

It is an arithmetic number, because the mean of its divisors is an integer number (12366900).

Almost surely, 2^504122220 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 504122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890416800).

504122220 is an abundant number, since it is smaller than the sum of its proper divisors (1276711380).

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

504122220 is a wasteful number, since it uses less digits than its factorization.

504122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7624 (or 7619 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 504122220 is about 22452.6662113879. Note that the first 3 decimals coincide. The cubic root of 504122220 is about 795.8757644717.

Adding to 504122220 its reverse (22221405), we get a palindrome (526343625).

It can be divided in two parts, 5041 and 22220, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 504122220 in words is "five hundred four million, one hundred twenty-two thousand, two hundred twenty".