517284144 has 100 divisors (see below), whose sum is σ = 1612389856. Its totient is φ = 159159168.

The previous prime is 517284113. The next prime is 517284149. The reversal of 517284144 is 441482715.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 517284099 and 517284108.

It is not an unprimeable number, because it can be changed into a prime (517284149) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1497 + ... + 32199.

Almost surely, 2^517284144 is an apocalyptic number.

517284144 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 517284144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806194928).

517284144 is an abundant number, since it is smaller than the sum of its proper divisors (1095105712).

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

517284144 is a wasteful number, since it uses less digits than its factorization.

517284144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30736 (or 30721 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 517284144 is about 22743.8814629342. The cubic root of 517284144 is about 802.7427442794.

The spelling of 517284144 in words is "five hundred seventeen million, two hundred eighty-four thousand, one hundred forty-four".