504010022400 has 360 divisors, whose sum is σ = 1815880037400. Its totient is φ = 133496094720.

The previous prime is 504010022357. The next prime is 504010022407. The reversal of 504010022400 is 4220010405.

504010022400 is a `hidden beast` number, since 504 + 0 + 100 + 22 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×504010022400² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504010022407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17150119 + ... + 17179481.

It is an arithmetic number, because the mean of its divisors is an integer number (5044111215).

Almost surely, 2^504010022400 is an apocalyptic number.

504010022400 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 504010022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907940018700).

504010022400 is an abundant number, since it is smaller than the sum of its proper divisors (1311870015000).

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

504010022400 is a wasteful number, since it uses less digits than its factorization.

504010022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29546 (or 29522 counting only the distinct ones).

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

Adding to 504010022400 its reverse (4220010405), we get a palindrome (508230032805).

It can be divided in two parts, 5040100 and 22400, that added together give a square (5062500 = 2250²).

The spelling of 504010022400 in words is "five hundred four billion, ten million, twenty-two thousand, four hundred".