434479872 has 72 divisors (see below), whose sum is σ = 1160378800. Its totient is φ = 144322560.

The previous prime is 434479841. The next prime is 434479873. The reversal of 434479872 is 278974434.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434479873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267222 + ... + 268842.

Almost surely, 2^434479872 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 434479872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580189400).

434479872 is an abundant number, since it is smaller than the sum of its proper divisors (725898928).

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

434479872 is a wasteful number, since it uses less digits than its factorization.

434479872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1975 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The square root of 434479872 is about 20844.1807706611. The cubic root of 434479872 is about 757.3963722350.

The spelling of 434479872 in words is "four hundred thirty-four million, four hundred seventy-nine thousand, eight hundred seventy-two".