434439936 has 360 divisors, whose sum is σ = 1537365984. Its totient is φ = 119439360.

The previous prime is 434439919. The next prime is 434439953. The reversal of 434439936 is 639934434.

It is an interprime number because it is at equal distance from previous prime (434439919) and next prime (434439953).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 434439891 and 434439900.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 5951196 + ... + 5951268.

Almost surely, 2^434439936 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 434439936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768682992).

434439936 is an abundant number, since it is smaller than the sum of its proper divisors (1102926048).

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

434439936 is an equidigital number, since it uses as much as digits as its factorization.

434439936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The square root of 434439936 is about 20843.2227834373. Note that the first 3 decimals coincide. The cubic root of 434439936 is about 757.3731657068.

The spelling of 434439936 in words is "four hundred thirty-four million, four hundred thirty-nine thousand, nine hundred thirty-six".