434843136 has 480 divisors, whose sum is σ = 1662268608. Its totient is φ = 106168320.

The previous prime is 434843131. The next prime is 434843137. The reversal of 434843136 is 631348434.

It is a happy number.

434843136 is a `hidden beast` number, since 43 + 484 + 3 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 434843136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434843131) 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 47 ways as a sum of consecutive naturals, for example, 7128546 + ... + 7128606.

Almost surely, 2^434843136 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 434843136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831134304).

434843136 is an abundant number, since it is smaller than the sum of its proper divisors (1227425472).

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

434843136 is a wasteful number, since it uses less digits than its factorization.

434843136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 103 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 434843136 is about 20852.8927489689. The cubic root of 434843136 is about 757.6073971179.

The spelling of 434843136 in words is "four hundred thirty-four million, eight hundred forty-three thousand, one hundred thirty-six".