430262144 has 128 divisors (see below), whose sum is σ = 1005312000. Its totient is φ = 181647360.

The previous prime is 430262099. The next prime is 430262153. The reversal of 430262144 is 441262034.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 979877 + ... + 980315.

It is an arithmetic number, because the mean of its divisors is an integer number (7854000).

Almost surely, 2^430262144 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 430262144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502656000).

430262144 is an abundant number, since it is smaller than the sum of its proper divisors (575049856).

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

430262144 is a wasteful number, since it uses less digits than its factorization.

430262144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 430262144 is about 20742.7612433832. The cubic root of 430262144 is about 754.9375817878.

The spelling of 430262144 in words is "four hundred thirty million, two hundred sixty-two thousand, one hundred forty-four".