430431120 has 240 divisors, whose sum is σ = 1693141632. Its totient is φ = 95938560.

The previous prime is 430431119. The next prime is 430431151. The reversal of 430431120 is 21134034.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 430431093 and 430431102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205599 + ... + 207681.

Almost surely, 2^430431120 is an apocalyptic number.

430431120 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 430431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846570816).

430431120 is an abundant number, since it is smaller than the sum of its proper divisors (1262710512).

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

430431120 is a wasteful number, since it uses less digits than its factorization.

430431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 430431120 is about 20746.8339753322. The cubic root of 430431120 is about 755.0363972337.

Adding to 430431120 its reverse (21134034), we get a palindrome (451565154).

The spelling of 430431120 in words is "four hundred thirty million, four hundred thirty-one thousand, one hundred twenty".