35480 has 16 divisors (see below), whose sum is σ = 79920. Its totient is φ = 14176.

The previous prime is 35461. The next prime is 35491. The reversal of 35480 is 8453.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35480.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 404 + ... + 483.

It is an arithmetic number, because the mean of its divisors is an integer number (4995).

2³⁵⁴⁸⁰ is an apocalyptic number.

It is an amenable number.

35480 is an abundant number, since it is smaller than the sum of its proper divisors (44440).

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 (39960).

35480 is a wasteful number, since it uses less digits than its factorization.

35480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 35480 is about 188.3613548475. The cubic root of 35480 is about 32.8595191368.

It can be divided in two parts, 354 and 80, that added together give a palindrome (434).

The spelling of 35480 in words is "thirty-five thousand, four hundred eighty".