430420000 has 60 divisors (see below), whose sum is σ = 1058946966. Its totient is φ = 172160000.

The previous prime is 430419971. The next prime is 430420013. The reversal of 430420000 is 24034.

It can be written as a sum of positive squares in 5 ways, for example, as 5895184 + 424524816 = 2428^2 + 20604^2 .

It is a super-2 number, since 2×430420000² = 370522752800000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9240 + ... + 30760.

Almost surely, 2^430420000 is an apocalyptic number.

430420000 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 430420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529473483).

430420000 is an abundant number, since it is smaller than the sum of its proper divisors (628526966).

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

430420000 is an equidigital number, since it uses as much as digits as its factorization.

430420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21551 (or 21528 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 430420000 is about 20746.5659809039. The cubic root of 430420000 is about 755.0298951658.

Adding to 430420000 its reverse (24034), we get a palindrome (430444034).

The spelling of 430420000 in words is "four hundred thirty million, four hundred twenty thousand".