434882304 has 144 divisors (see below), whose sum is σ = 1362039840. Its totient is φ = 136396800.

The previous prime is 434882299. The next prime is 434882311. The reversal of 434882304 is 403288434.

434882304 is a `hidden beast` number, since 4 + 348 + 8 + 2 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115654 + ... + 119354.

It is an arithmetic number, because the mean of its divisors is an integer number (9458610).

Almost surely, 2^434882304 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 434882304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681019920).

434882304 is an abundant number, since it is smaller than the sum of its proper divisors (927157536).

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

434882304 is a wasteful number, since it uses less digits than its factorization.

434882304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3743 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 434882304 is about 20853.8318780986. The cubic root of 434882304 is about 757.6301433093.

The spelling of 434882304 in words is "four hundred thirty-four million, eight hundred eighty-two thousand, three hundred four".