436480 has 72 divisors (see below), whose sum is σ = 1177344. Its totient is φ = 153600.

The previous prime is 436477. The next prime is 436481. The reversal of 436480 is 84634.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (436481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14065 + ... + 14095.

It is an arithmetic number, because the mean of its divisors is an integer number (16352).

2⁴³⁶⁴⁸⁰ is an apocalyptic number.

436480 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 436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588672).

436480 is an abundant number, since it is smaller than the sum of its proper divisors (740864).

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

436480 is a wasteful number, since it uses less digits than its factorization.

436480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 436480 is about 660.6663303060. Note that the first 3 decimals coincide. The cubic root of 436480 is about 75.8556818029.

It can be divided in two parts, 4364 and 80, that added together give a palindrome (4444).

The spelling of 436480 in words is "four hundred thirty-six thousand, four hundred eighty".