430066120 has 64 divisors (see below), whose sum is σ = 1062771840. Its totient is φ = 155328000.

The previous prime is 430066073. The next prime is 430066123. The reversal of 430066120 is 21660034.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 430066091 and 430066100.

It is not an unprimeable number, because it can be changed into a prime (430066123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63204 + ... + 69676.

It is an arithmetic number, because the mean of its divisors is an integer number (16605810).

Almost surely, 2^430066120 is an apocalyptic number.

430066120 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 430066120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531385920).

430066120 is an abundant number, since it is smaller than the sum of its proper divisors (632705720).

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

430066120 is a wasteful number, since it uses less digits than its factorization.

430066120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6646 (or 6642 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 430066120 is about 20738.0355868149. The cubic root of 430066120 is about 754.8229165261.

The spelling of 430066120 in words is "four hundred thirty million, sixty-six thousand, one hundred twenty".