434712096 has 480 divisors, whose sum is σ = 1673400960. Its totient is φ = 107495424.

The previous prime is 434712079. The next prime is 434712107. The reversal of 434712096 is 690217434.

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

It is a self number, because there is not a number n which added to its sum of digits gives 434712096.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 4481520 + ... + 4481616.

It is an arithmetic number, because the mean of its divisors is an integer number (3486252).

Almost surely, 2^434712096 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 434712096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836700480).

434712096 is an abundant number, since it is smaller than the sum of its proper divisors (1238688864).

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

434712096 is a wasteful number, since it uses less digits than its factorization.

434712096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 434712096 is about 20849.7505021043. The cubic root of 434712096 is about 757.5312877970.

The spelling of 434712096 in words is "four hundred thirty-four million, seven hundred twelve thousand, ninety-six".