4000880 has 40 divisors (see below), whose sum is σ = 10020192. Its totient is φ = 1476864.

The previous prime is 4000879. The next prime is 4000883. The reversal of 4000880 is 880004.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

4000880 is a modest number, since divided by 880 gives 400 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 884 + ... + 2963.

Almost surely, 2^4000880 is an apocalyptic number.

4000880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000880 is an abundant number, since it is smaller than the sum of its proper divisors (6019312).

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

4000880 is a wasteful number, since it uses less digits than its factorization.

4000880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3873 (or 3867 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 4000880 is about 2000.2199879013. The cubic root of 4000880 is about 158.7517452843.

Adding to 4000880 its reverse (880004), we get a palindrome (4880884).

The spelling of 4000880 in words is "four million, eight hundred eighty", and thus it is an aban number.