430664160 has 96 divisors (see below), whose sum is σ = 1364362272. Its totient is φ = 114186240.

The previous prime is 430664153. The next prime is 430664177. The reversal of 430664160 is 61466034.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 84402 + ... + 89358.

It is an arithmetic number, because the mean of its divisors is an integer number (14212107).

Almost surely, 2^430664160 is an apocalyptic number.

430664160 is a gapful number since it is divisible by the number (40) 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 430664160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682181136).

430664160 is an abundant number, since it is smaller than the sum of its proper divisors (933698112).

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

430664160 is a wasteful number, since it uses less digits than its factorization.

430664160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5156 (or 5148 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 430664160 is about 20752.4494939754. The cubic root of 430664160 is about 755.1726342365.

The spelling of 430664160 in words is "four hundred thirty million, six hundred sixty-four thousand, one hundred sixty".