430379712 has 168 divisors, whose sum is σ = 1420282656. Its totient is φ = 122056704.

The previous prime is 430379711. The next prime is 430379717. The reversal of 430379712 is 217973034.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (430379711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 697228 + ... + 697844.

Almost surely, 2^430379712 is an apocalyptic number.

430379712 is a gapful number since it is divisible by the number (42) 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 430379712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710141328).

430379712 is an abundant number, since it is smaller than the sum of its proper divisors (989902944).

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

430379712 is a wasteful number, since it uses less digits than its factorization.

430379712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 430379712 is about 20745.5950023131. The cubic root of 430379712 is about 755.0063370958.

The spelling of 430379712 in words is "four hundred thirty million, three hundred seventy-nine thousand, seven hundred twelve".