513830464 has 112 divisors (see below), whose sum is σ = 1207008000. Its totient is φ = 216910848.

The previous prime is 513830453. The next prime is 513830477. The reversal of 513830464 is 464038315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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, 1953597 + ... + 1953859.

Almost surely, 2^513830464 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 513830464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603504000).

513830464 is an abundant number, since it is smaller than the sum of its proper divisors (693177536).

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

513830464 is an equidigital number, since it uses as much as digits as its factorization.

513830464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 513830464 is about 22667.8288329518. The cubic root of 513830464 is about 800.9522327829.

Adding to 513830464 its reverse (464038315), we get a palindrome (977868779).

The spelling of 513830464 in words is "five hundred thirteen million, eight hundred thirty thousand, four hundred sixty-four".