434752032 has 144 divisors (see below), whose sum is σ = 1351365120. Its totient is φ = 121566720.

The previous prime is 434752027. The next prime is 434752093. The reversal of 434752032 is 230257434.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 149569 + ... + 152447.

It is an arithmetic number, because the mean of its divisors is an integer number (9384480).

Almost surely, 2^434752032 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 434752032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675682560).

434752032 is an abundant number, since it is smaller than the sum of its proper divisors (916613088).

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

434752032 is a wasteful number, since it uses less digits than its factorization.

434752032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 434752032 is about 20850.7081894117. The cubic root of 434752032 is about 757.5544846388.

The spelling of 434752032 in words is "four hundred thirty-four million, seven hundred fifty-two thousand, thirty-two".