434432000 has 96 divisors (see below), whose sum is σ = 1084716360. Its totient is φ = 173670400.

The previous prime is 434431993. The next prime is 434432021. The reversal of 434432000 is 234434.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 252937216 + 181494784 = 15904^2 + 13472^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255152 + ... + 256848.

Almost surely, 2^434432000 is an apocalyptic number.

434432000 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 434432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542358180).

434432000 is an abundant number, since it is smaller than the sum of its proper divisors (650284360).

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

434432000 is an equidigital number, since it uses as much as digits as its factorization.

434432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 434432000 is about 20843.0324089370. The cubic root of 434432000 is about 757.3685539837.

Adding to 434432000 its reverse (234434), we get a palindrome (434666434).

The spelling of 434432000 in words is "four hundred thirty-four million, four hundred thirty-two thousand".