435872 has 24 divisors (see below), whose sum is σ = 877716. Its totient is φ = 212992.

The previous prime is 435859. The next prime is 435881. The reversal of 435872 is 278534.

It is a happy number.

435872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 355216 + 80656 = 596^2 + 284^2 .

It is an Ulam number.

Its product of digits (6720) is a multiple of the sum of its prime factors (320).

It is an unprimeable number.

435872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1568 + ... + 1824.

2⁴³⁵⁸⁷² 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 435872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438858).

435872 is an abundant number, since it is smaller than the sum of its proper divisors (441844).

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

435872 is a wasteful number, since it uses less digits than its factorization.

435872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its digits is 6720, while the sum is 29.

The square root of 435872 is about 660.2060284487. The cubic root of 435872 is about 75.8204440786.

The spelling of 435872 in words is "four hundred thirty-five thousand, eight hundred seventy-two".