431430000 has 200 divisors, whose sum is σ = 1418958288. Its totient is φ = 112896000.

The previous prime is 431429987. The next prime is 431430019. The reversal of 431430000 is 34134.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×431430000² = 372263689800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2189902 + ... + 2190098.

Almost surely, 2^431430000 is an apocalyptic number.

431430000 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 431430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709479144).

431430000 is an abundant number, since it is smaller than the sum of its proper divisors (987528288).

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

431430000 is a wasteful number, since it uses less digits than its factorization.

431430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 431430000 is about 20770.8930958686. The cubic root of 431430000 is about 755.6200044344.

Adding to 431430000 its reverse (34134), we get a palindrome (431464134).

The spelling of 431430000 in words is "four hundred thirty-one million, four hundred thirty thousand".