435968 has 36 divisors (see below), whose sum is σ = 944328. Its totient is φ = 199680.

The previous prime is 435949. The next prime is 435973. The reversal of 435968 is 869534.

435968 is nontrivially palindromic in base 15.

435968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (25920) is a multiple of the sum of its prime factors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3263 + ... + 3393.

2⁴³⁵⁹⁶⁸ 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 435968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472164).

435968 is an abundant number, since it is smaller than the sum of its proper divisors (508360).

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

435968 is a wasteful number, since it uses less digits than its factorization.

435968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 435968 is about 660.2787290228. The cubic root of 435968 is about 75.8260101074.

The spelling of 435968 in words is "four hundred thirty-five thousand, nine hundred sixty-eight".