430993104 has 80 divisors (see below), whose sum is σ = 1133927424. Its totient is φ = 141040000.

The previous prime is 430993063. The next prime is 430993117. The reversal of 430993104 is 401399034.

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, 999769 + ... + 1000199.

Almost surely, 2^430993104 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 430993104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566963712).

430993104 is an abundant number, since it is smaller than the sum of its proper divisors (702934320).

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

430993104 is a wasteful number, since it uses less digits than its factorization.

430993104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 430993104 is about 20760.3734070464. The cubic root of 430993104 is about 755.3648538447.

The spelling of 430993104 in words is "four hundred thirty million, nine hundred ninety-three thousand, one hundred four".