435480 has 64 divisors (see below), whose sum is σ = 1382400. Its totient is φ = 109440.

The previous prime is 435451. The next prime is 435481. The reversal of 435480 is 84534.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 435480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (435481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2185 + ... + 2375.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2⁴³⁵⁴⁸⁰ is an apocalyptic number.

435480 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 435480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691200).

435480 is an abundant number, since it is smaller than the sum of its proper divisors (946920).

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

435480 is a wasteful number, since it uses less digits than its factorization.

435480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 435480 is about 659.9090846473. The cubic root of 435480 is about 75.7977076418.

435480 divided by its sum of digits (24) gives a triangular number (18145 = T₁₉₀).

The spelling of 435480 in words is "four hundred thirty-five thousand, four hundred eighty".