430309264 has 160 divisors (see below), whose sum is σ = 1131356160. Its totient is φ = 153446400.

The previous prime is 430309261. The next prime is 430309273. The reversal of 430309264 is 462903034.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (430309261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 725352 + ... + 725944.

It is an arithmetic number, because the mean of its divisors is an integer number (7070976).

Almost surely, 2^430309264 is an apocalyptic number.

430309264 is a gapful number since it is divisible by the number (44) 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 430309264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565678080).

430309264 is an abundant number, since it is smaller than the sum of its proper divisors (701046896).

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

430309264 is a wasteful number, since it uses less digits than its factorization.

430309264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 430309264 is about 20743.8970302111. The cubic root of 430309264 is about 754.9651396854.

The spelling of 430309264 in words is "four hundred thirty million, three hundred nine thousand, two hundred sixty-four".