430428992 has 112 divisors (see below), whose sum is σ = 1047048960. Its totient is φ = 171528192.

The previous prime is 430428941. The next prime is 430429031. The reversal of 430428992 is 299824034.

It is a tau number, because it is divible by the number of its divisors (112).

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, 380684 + ... + 381812.

Almost surely, 2^430428992 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 430428992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523524480).

430428992 is an abundant number, since it is smaller than the sum of its proper divisors (616619968).

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

430428992 is a wasteful number, since it uses less digits than its factorization.

430428992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 430428992 is about 20746.7826903354. The cubic root of 430428992 is about 755.0351529617.

The spelling of 430428992 in words is "four hundred thirty million, four hundred twenty-eight thousand, nine hundred ninety-two".