434413504 has 84 divisors (see below), whose sum is σ = 1021216144. Its totient is φ = 179601408.

The previous prime is 434413501. The next prime is 434413531. The reversal of 434413504 is 405314434.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434413501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 376192 + ... + 377344.

Almost surely, 2^434413504 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 434413504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510608072).

434413504 is an abundant number, since it is smaller than the sum of its proper divisors (586802640).

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

434413504 is a wasteful number, since it uses less digits than its factorization.

434413504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 434413504 is about 20842.5887067802. The cubic root of 434413504 is about 757.3578054756.

Adding to 434413504 its reverse (405314434), we get a palindrome (839727938).

The spelling of 434413504 in words is "four hundred thirty-four million, four hundred thirteen thousand, five hundred four".