416880 has 80 divisors (see below), whose sum is σ = 1443360. Its totient is φ = 110592.

The previous prime is 416873. The next prime is 416881. The reversal of 416880 is 88614.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416881) by changing a digit.

416880 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, 2064 + ... + 2256.

It is an arithmetic number, because the mean of its divisors is an integer number (18042).

2⁴¹⁶⁸⁸⁰ is an apocalyptic number.

416880 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 416880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721680).

416880 is an abundant number, since it is smaller than the sum of its proper divisors (1026480).

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

416880 is a wasteful number, since it uses less digits than its factorization.

416880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 416880 is about 645.6624505111. The cubic root of 416880 is about 74.7028240412.

It can be divided in two parts, 416 and 880, that added together give a 4-th power (1296 = 6⁴).

The spelling of 416880 in words is "four hundred sixteen thousand, eight hundred eighty".