430473120 has 384 divisors, whose sum is σ = 1782466560. Its totient is φ = 84602880.

The previous prime is 430473107. The next prime is 430473149. The reversal of 430473120 is 21374034.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 701934 + ... + 702546.

It is an arithmetic number, because the mean of its divisors is an integer number (4641840).

Almost surely, 2^430473120 is an apocalyptic number.

430473120 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 430473120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891233280).

430473120 is an abundant number, since it is smaller than the sum of its proper divisors (1351993440).

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

430473120 is a wasteful number, since it uses less digits than its factorization.

430473120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 430473120 is about 20747.8461532758. The cubic root of 430473120 is about 755.0609543934.

The spelling of 430473120 in words is "four hundred thirty million, four hundred seventy-three thousand, one hundred twenty".