506401120 has 144 divisors (see below), whose sum is σ = 1297683072. Its totient is φ = 186531840.

The previous prime is 506401099. The next prime is 506401121. The reversal of 506401120 is 21104605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506401121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2623744 + ... + 2623936.

It is an arithmetic number, because the mean of its divisors is an integer number (9011688).

Almost surely, 2^506401120 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 506401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648841536).

506401120 is an abundant number, since it is smaller than the sum of its proper divisors (791281952).

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

506401120 is a wasteful number, since it uses less digits than its factorization.

506401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 506401120 is about 22503.3579716450. The cubic root of 506401120 is about 797.0732221890.

Adding to 506401120 its reverse (21104605), we get a palindrome (527505725).

It can be divided in two parts, 506401 and 120, that added together give a triangular number (506521 = T₁₀₀₆).

The spelling of 506401120 in words is "five hundred six million, four hundred one thousand, one hundred twenty".