504061800 has 288 divisors, whose sum is σ = 1763324640. Its totient is φ = 118976000.

The previous prime is 504061799. The next prime is 504061807. The reversal of 504061800 is 8160405.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504061807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3847735 + ... + 3847865.

It is an arithmetic number, because the mean of its divisors is an integer number (6122655).

Almost surely, 2^504061800 is an apocalyptic number.

504061800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504061800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881662320).

504061800 is an abundant number, since it is smaller than the sum of its proper divisors (1259262840).

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

504061800 is a wasteful number, since it uses less digits than its factorization.

504061800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 504061800 is about 22451.3206738490. The cubic root of 504061800 is about 795.8439674636.

The spelling of 504061800 in words is "five hundred four million, sixty-one thousand, eight hundred".