436896 has 72 divisors (see below), whose sum is σ = 1307124. Its totient is φ = 138240.

The previous prime is 436889. The next prime is 436913. The reversal of 436896 is 698634.

436896 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 435600 + 1296 = 660^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×436896² = 381756229632, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 436896.

It is an unprimeable number.

436896 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 11 ways as a sum of consecutive naturals, for example, 10636 + ... + 10676.

2⁴³⁶⁸⁹⁶ 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 436896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653562).

436896 is an abundant number, since it is smaller than the sum of its proper divisors (870228).

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

436896 is a wasteful number, since it uses less digits than its factorization.

436896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 83 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 436896 is about 660.9810889882. The cubic root of 436896 is about 75.8797729746.

The spelling of 436896 in words is "four hundred thirty-six thousand, eight hundred ninety-six".