515442144 has 96 divisors (see below), whose sum is σ = 1613606400. Its totient is φ = 140861952.

The previous prime is 515442139. The next prime is 515442181. The reversal of 515442144 is 441244515.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×515442144² = 531361207622633472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1219 + ... + 32130.

It is an arithmetic number, because the mean of its divisors is an integer number (16808400).

Almost surely, 2^515442144 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 515442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806803200).

515442144 is an abundant number, since it is smaller than the sum of its proper divisors (1098164256).

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

515442144 is a wasteful number, since it uses less digits than its factorization.

515442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33392 (or 33384 counting only the distinct ones).

The product of its digits is 12800, while the sum is 30.

The square root of 515442144 is about 22703.3509420966. The cubic root of 515442144 is about 801.7887806819.

Adding to 515442144 its reverse (441244515), we get a palindrome (956686659).

The spelling of 515442144 in words is "five hundred fifteen million, four hundred forty-two thousand, one hundred forty-four".