435960 has 96 divisors (see below), whose sum is σ = 1628640. Its totient is φ = 99072.

The previous prime is 435949. The next prime is 435973. The reversal of 435960 is 69534.

It is a happy number.

It is a super-2 number, since 2×435960² = 380122243200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

435960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2434 + ... + 2606.

It is an arithmetic number, because the mean of its divisors is an integer number (16965).

2⁴³⁵⁹⁶⁰ is an apocalyptic number.

435960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 435960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814320).

435960 is an abundant number, since it is smaller than the sum of its proper divisors (1192680).

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

435960 is a wasteful number, since it uses less digits than its factorization.

435960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 435960 is about 660.2726709474. The cubic root of 435960 is about 75.8255463029.

The spelling of 435960 in words is "four hundred thirty-five thousand, nine hundred sixty".