430828400 has 60 divisors (see below), whose sum is σ = 1045214352. Its totient is φ = 170641920.

The previous prime is 430828393. The next prime is 430828403. The reversal of 430828400 is 4828034.

It is a super-2 number, since 2×430828400² = 371226220493120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430828403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35972 + ... + 46428.

Almost surely, 2^430828400 is an apocalyptic number.

430828400 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 430828400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522607176).

430828400 is an abundant number, since it is smaller than the sum of its proper divisors (614385952).

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

430828400 is a wasteful number, since it uses less digits than its factorization.

430828400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10578 (or 10567 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 430828400 is about 20756.4062400021. The cubic root of 430828400 is about 755.2686207007.

The spelling of 430828400 in words is "four hundred thirty million, eight hundred twenty-eight thousand, four hundred".