35440 has 20 divisors (see below), whose sum is σ = 82584. Its totient is φ = 14144.

The previous prime is 35437. The next prime is 35447. The reversal of 35440 is 4453.

35440 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 11.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 142 + ... + 301.

2³⁵⁴⁴⁰ is an apocalyptic number.

It is an amenable number.

35440 is an abundant number, since it is smaller than the sum of its proper divisors (47144).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41292).

35440 is a wasteful number, since it uses less digits than its factorization.

35440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 35440 is about 188.2551460120. The cubic root of 35440 is about 32.8471659330.

Adding to 35440 its reverse (4453), we get a palindrome (39893).

It can be divided in two parts, 35 and 440, that multiplied together give a triangular number (15400 = T₁₇₅).

The spelling of 35440 in words is "thirty-five thousand, four hundred forty".