430113264 has 80 divisors (see below), whose sum is σ = 1273132800. Its totient is φ = 122572800.

The previous prime is 430113259. The next prime is 430113287. The reversal of 430113264 is 462311034.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 149439 + ... + 152289.

It is an arithmetic number, because the mean of its divisors is an integer number (15914160).

Almost surely, 2^430113264 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 430113264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636566400).

430113264 is an abundant number, since it is smaller than the sum of its proper divisors (843019536).

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

430113264 is a wasteful number, since it uses less digits than its factorization.

430113264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3318 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 430113264 is about 20739.1722110599. The cubic root of 430113264 is about 754.8504968366.

Adding to 430113264 its reverse (462311034), we get a palindrome (892424298).

The spelling of 430113264 in words is "four hundred thirty million, one hundred thirteen thousand, two hundred sixty-four".