506296224 has 144 divisors (see below), whose sum is σ = 1717934400. Its totient is φ = 144643968.

The previous prime is 506296213. The next prime is 506296229. The reversal of 506296224 is 422692605.

506296224 is a `hidden beast` number, since 5 + 0 + 6 + 29 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (506296229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36357 + ... + 48315.

It is an arithmetic number, because the mean of its divisors is an integer number (11930100).

Almost surely, 2^506296224 is an apocalyptic number.

506296224 is a gapful number since it is divisible by the number (54) 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 506296224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858967200).

506296224 is an abundant number, since it is smaller than the sum of its proper divisors (1211638176).

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

506296224 is a wasteful number, since it uses less digits than its factorization.

506296224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11992 (or 11971 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 506296224 is about 22501.0271765535. The cubic root of 506296224 is about 797.0181831017.

The spelling of 506296224 in words is "five hundred six million, two hundred ninety-six thousand, two hundred twenty-four".