410780 has 48 divisors (see below), whose sum is σ = 967680. Its totient is φ = 145728.

The previous prime is 410759. The next prime is 410783. The reversal of 410780 is 87014.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410783) by changing a digit.

410780 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, 8717 + ... + 8763.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2⁴¹⁰⁷⁸⁰ 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 410780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

410780 is an abundant number, since it is smaller than the sum of its proper divisors (556900).

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

410780 is a wasteful number, since it uses less digits than its factorization.

410780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 410780 is about 640.9212120066. The cubic root of 410780 is about 74.3366690418.

Adding to 410780 its reverse (87014), we get a palindrome (497794).

The spelling of 410780 in words is "four hundred ten thousand, seven hundred eighty".