410720 has 48 divisors (see below), whose sum is σ = 1034208. Its totient is φ = 153600.

The previous prime is 410717. The next prime is 410731. The reversal of 410720 is 27014.

It is a happy number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 410695 and 410704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2645 + ... + 2795.

It is an arithmetic number, because the mean of its divisors is an integer number (21546).

2⁴¹⁰⁷²⁰ is an apocalyptic number.

410720 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 410720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517104).

410720 is an abundant number, since it is smaller than the sum of its proper divisors (623488).

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

410720 is a wasteful number, since it uses less digits than its factorization.

410720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 410720 is about 640.8744026718. The cubic root of 410720 is about 74.3330495720. Note that the first 3 decimals are identical.

Adding to 410720 its reverse (27014), we get a palindrome (437734).

The spelling of 410720 in words is "four hundred ten thousand, seven hundred twenty", and thus it is an iban number.