506997144 has 96 divisors (see below), whose sum is σ = 1458933840. Its totient is φ = 164851200.

The previous prime is 506997097. The next prime is 506997151. The reversal of 506997144 is 441799605.

It is a super-2 number, since 2×506997144² = 514092208048313472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 506997144.

It is a congruent number.

It is an unprimeable number.

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, 76524 + ... + 82884.

Almost surely, 2^506997144 is an apocalyptic number.

506997144 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 506997144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729466920).

506997144 is an abundant number, since it is smaller than the sum of its proper divisors (951936696).

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

506997144 is a wasteful number, since it uses less digits than its factorization.

506997144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6423 (or 6407 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 506997144 is about 22516.5970785996. The cubic root of 506997144 is about 797.3858126689.

The spelling of 506997144 in words is "five hundred six million, nine hundred ninety-seven thousand, one hundred forty-four".