434134896 has 160 divisors (see below), whose sum is σ = 1259919360. Its totient is φ = 127948800.

The previous prime is 434134891. The next prime is 434134931. The reversal of 434134896 is 698431434.

434134896 = 3234² + 3235² + ... + 3274².

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434134891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1816345 + ... + 1816583.

It is an arithmetic number, because the mean of its divisors is an integer number (7874496).

Almost surely, 2^434134896 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 434134896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629959680).

434134896 is an abundant number, since it is smaller than the sum of its proper divisors (825784464).

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

434134896 is a wasteful number, since it uses less digits than its factorization.

434134896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 369 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 434134896 is about 20835.9040120653. The cubic root of 434134896 is about 757.1958621761.

The spelling of 434134896 in words is "four hundred thirty-four million, one hundred thirty-four thousand, eight hundred ninety-six".