506286144 has 252 divisors, whose sum is σ = 1798295616. Its totient is φ = 133346304.

The previous prime is 506286101. The next prime is 506286149. The reversal of 506286144 is 441682605.

506286144 is a `hidden beast` number, since 506 + 2 + 8 + 6 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a junction number, because it is equal to n+sod(n) for n = 506286099 and 506286108.

It is not an unprimeable number, because it can be changed into a prime (506286149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 681037 + ... + 681779.

Almost surely, 2^506286144 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 506286144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899147808).

506286144 is an abundant number, since it is smaller than the sum of its proper divisors (1292009472).

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

506286144 is a wasteful number, since it uses less digits than its factorization.

506286144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 506286144 is about 22500.8031856643. The cubic root of 506286144 is about 797.0128937103.

The spelling of 506286144 in words is "five hundred six million, two hundred eighty-six thousand, one hundred forty-four".