434807424 has 144 divisors (see below), whose sum is σ = 1297868910. Its totient is φ = 139622400.

The previous prime is 434807339. The next prime is 434807437. The reversal of 434807424 is 424708434.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 362217024 + 72590400 = 19032^2 + 8520^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4304974 + ... + 4305074.

Almost surely, 2^434807424 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 434807424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648934455).

434807424 is an abundant number, since it is smaller than the sum of its proper divisors (863061486).

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

434807424 is a wasteful number, since it uses less digits than its factorization.

434807424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 434807424 is about 20852.0364473113. The cubic root of 434807424 is about 757.5866567529.

The spelling of 434807424 in words is "four hundred thirty-four million, eight hundred seven thousand, four hundred twenty-four".