410872 has 64 divisors (see below), whose sum is σ = 1036800. Its totient is φ = 147840.

The previous prime is 410857. The next prime is 410899. The reversal of 410872 is 278014.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a pancake number, because a pancake can be divided into 410872 parts by 906 straight cuts.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14154 + ... + 14182.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2⁴¹⁰⁸⁷² 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 410872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518400).

410872 is an abundant number, since it is smaller than the sum of its proper divisors (625928).

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

410872 is a wasteful number, since it uses less digits than its factorization.

410872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 410872 is about 640.9929796807. The cubic root of 410872 is about 74.3422182109.

Adding to 410872 its reverse (278014), we get a palindrome (688886).

The spelling of 410872 in words is "four hundred ten thousand, eight hundred seventy-two".