411516 has 72 divisors (see below), whose sum is σ = 1257984. Its totient is φ = 110880.

The previous prime is 411503. The next prime is 411527. The reversal of 411516 is 615114.

411516 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5761 + ... + 5831.

It is an arithmetic number, because the mean of its divisors is an integer number (17472).

2⁴¹¹⁵¹⁶ is an apocalyptic number.

411516 is a gapful number since it is divisible by the number (46) 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 411516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628992).

411516 is an abundant number, since it is smaller than the sum of its proper divisors (846468).

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

411516 is a wasteful number, since it uses less digits than its factorization.

411516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 106 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 411516 is about 641.4951285863. The cubic root of 411516 is about 74.3810392196.

It can be divided in two parts, 4 and 11516, that multiplied together give a palindrome (46064).

The spelling of 411516 in words is "four hundred eleven thousand, five hundred sixteen".