430400160 has 144 divisors (see below), whose sum is σ = 1546140960. Its totient is φ = 108725760.

The previous prime is 430400143. The next prime is 430400171. The reversal of 430400160 is 61004034.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19495 + ... + 35225.

It is an arithmetic number, because the mean of its divisors is an integer number (10737090).

Almost surely, 2^430400160 is an apocalyptic number.

430400160 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 430400160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773070480).

430400160 is an abundant number, since it is smaller than the sum of its proper divisors (1115740800).

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

430400160 is a wasteful number, since it uses less digits than its factorization.

430400160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15771 (or 15760 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 430400160 is about 20746.0878239730. The cubic root of 430400160 is about 755.0182940760.

Adding to 430400160 its reverse (61004034), we get a palindrome (491404194).

The spelling of 430400160 in words is "four hundred thirty million, four hundred thousand, one hundred sixty".