4022880 has 144 divisors (see below), whose sum is σ = 13925520. Its totient is φ = 974848.

The previous prime is 4022873. The next prime is 4022891. The reversal of 4022880 is 882204.

4022880 = T₁ + T₂ + ... + T₂₈₈.

4022880 is a nontrivial binomial coefficient, being equal to C(290, 3).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4022880.

It is a congruent number.

It is an unprimeable number.

It is the 288-th tetrahedral number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138706 + ... + 138734.

It is an arithmetic number, because the mean of its divisors is an integer number (96705).

Almost surely, 2^4022880 is an apocalyptic number.

4022880 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 4022880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6962760).

4022880 is an abundant number, since it is smaller than the sum of its proper divisors (9902640).

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

4022880 is a wasteful number, since it uses less digits than its factorization.

4022880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 4022880 is about 2005.7118437104. The cubic root of 4022880 is about 159.0421944107.

The spelling of 4022880 in words is "four million, twenty-two thousand, eight hundred eighty".