434400032 has 48 divisors (see below), whose sum is σ = 948314304. Its totient is φ = 194208000.

The previous prime is 434400023. The next prime is 434400037. The reversal of 434400032 is 230004434.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 434399977 and 434400013.

It is not an unprimeable number, because it can be changed into a prime (434400037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11357 + ... + 31587.

It is an arithmetic number, because the mean of its divisors is an integer number (19756548).

Almost surely, 2^434400032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474157152).

434400032 is an abundant number, since it is smaller than the sum of its proper divisors (513914272).

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

434400032 is a wasteful number, since it uses less digits than its factorization.

434400032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20313 (or 20305 counting only the distinct ones).

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

The square root of 434400032 is about 20842.2655198517. The cubic root of 434400032 is about 757.3499763529.

Adding to 434400032 its reverse (230004434), we get a palindrome (664404466).

The spelling of 434400032 in words is "four hundred thirty-four million, four hundred thousand, thirty-two".