504822780 has 576 divisors, whose sum is σ = 2113413120. Its totient is φ = 97977600.

The previous prime is 504822767. The next prime is 504822809. The reversal of 504822780 is 87228405.

504822780 = T₄₂₅₇ + T₄₂₅₈ + ... + T₄₃₁₁.

It is a happy number.

504822780 is a `hidden beast` number, since 504 + 82 + 2 + 78 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7110145 + ... + 7110215.

It is an arithmetic number, because the mean of its divisors is an integer number (3669120).

Almost surely, 2^504822780 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 504822780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056706560).

504822780 is an abundant number, since it is smaller than the sum of its proper divisors (1608590340).

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

504822780 is a wasteful number, since it uses less digits than its factorization.

504822780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 504822780 is about 22468.2616149982. The cubic root of 504822780 is about 796.2442601986.

The spelling of 504822780 in words is "five hundred four million, eight hundred twenty-two thousand, seven hundred eighty".