408780 has 48 divisors (see below), whose sum is σ = 1273440. Its totient is φ = 108864.

The previous prime is 408773. The next prime is 408787. The reversal of 408780 is 87804.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (408773) and next prime (408787).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 408780.

It is not an unprimeable number, because it can be changed into a prime (408787) by changing a digit.

408780 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162 + ... + 918.

It is an arithmetic number, because the mean of its divisors is an integer number (26530).

2⁴⁰⁸⁷⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636720).

408780 is an abundant number, since it is smaller than the sum of its proper divisors (864660).

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

408780 is a wasteful number, since it uses less digits than its factorization.

408780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 408780 is about 639.3590540534. The cubic root of 408780 is about 74.2158295988.

The spelling of 408780 in words is "four hundred eight thousand, seven hundred eighty".