434034072 has 128 divisors (see below), whose sum is σ = 1284120000. Its totient is φ = 135834624.

The previous prime is 434034071. The next prime is 434034079. The reversal of 434034072 is 270430434.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434034071) 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 31 ways as a sum of consecutive naturals, for example, 1061004 + ... + 1061412.

Almost surely, 2^434034072 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 434034072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642060000).

434034072 is an abundant number, since it is smaller than the sum of its proper divisors (850085928).

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

434034072 is a wasteful number, since it uses less digits than its factorization.

434034072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 434034072 is about 20833.4843941190. The cubic root of 434034072 is about 757.1372402845.

The spelling of 434034072 in words is "four hundred thirty-four million, thirty-four thousand, seventy-two".