506057344 has 64 divisors (see below), whose sum is σ = 1092420000. Its totient is φ = 232123392.

The previous prime is 506057341. The next prime is 506057347. The reversal of 506057344 is 443750605.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (506057341) and next prime (506057347).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (506057341) 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, 297007 + ... + 298705.

Almost surely, 2^506057344 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 506057344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546210000).

506057344 is an abundant number, since it is smaller than the sum of its proper divisors (586362656).

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

506057344 is a wasteful number, since it uses less digits than its factorization.

506057344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The square root of 506057344 is about 22495.7183481657. The cubic root of 506057344 is about 796.8928140352.

The spelling of 506057344 in words is "five hundred six million, fifty-seven thousand, three hundred forty-four".