430669000 has 64 divisors (see below), whose sum is σ = 1012143600. Its totient is φ = 171520000.

The previous prime is 430668971. The next prime is 430669003. The reversal of 430669000 is 966034.

It can be written as a sum of positive squares in 8 ways, for example, as 33942276 + 396726724 = 5826^2 + 19918^2 .

It is a super-2 number, since 2×430669000² = 370951575122000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 430669000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430669003) 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, 268200 + ... + 269800.

Almost surely, 2^430669000 is an apocalyptic number.

430669000 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 430669000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506071800).

430669000 is an abundant number, since it is smaller than the sum of its proper divisors (581474600).

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

430669000 is a wasteful number, since it uses less digits than its factorization.

430669000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 430669000 is about 20752.5661063879. The cubic root of 430669000 is about 755.1754632173.

The spelling of 430669000 in words is "four hundred thirty million, six hundred sixty-nine thousand".