4208880 has 160 divisors (see below), whose sum is σ = 14999040. Its totient is φ = 967680.

The previous prime is 4208879. The next prime is 4208887. The reversal of 4208880 is 888024.

4208880 = T₁₆₉ + T₁₇₀ + ... + T₃₁₀.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4208887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59245 + ... + 59315.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

Almost surely, 2^4208880 is an apocalyptic number.

4208880 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 4208880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499520).

4208880 is an abundant number, since it is smaller than the sum of its proper divisors (10790160).

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

4208880 is a wasteful number, since it uses less digits than its factorization.

4208880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 4208880 is about 2051.5555074138. Note that the first 4 decimals coincide. The cubic root of 4208880 is about 161.4564928637.

The spelling of 4208880 in words is "four million, two hundred eight thousand, eight hundred eighty".