506770144 has 48 divisors (see below), whose sum is σ = 1033482240. Its totient is φ = 244356480.

The previous prime is 506770141. The next prime is 506770151. The reversal of 506770144 is 441077605.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506770141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 355417 + ... + 356839.

It is an arithmetic number, because the mean of its divisors is an integer number (21530880).

Almost surely, 2^506770144 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 506770144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516741120).

506770144 is an abundant number, since it is smaller than the sum of its proper divisors (526712096).

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

506770144 is a wasteful number, since it uses less digits than its factorization.

506770144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 506770144 is about 22511.5557880836. Note that the first 3 decimals coincide. The cubic root of 506770144 is about 797.2667892499.

The spelling of 506770144 in words is "five hundred six million, seven hundred seventy thousand, one hundred forty-four".