4005480 has 64 divisors (see below), whose sum is σ = 12441600. Its totient is φ = 1030400.

The previous prime is 4005467. The next prime is 4005499. The reversal of 4005480 is 845004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2905 + ... + 4055.

It is an arithmetic number, because the mean of its divisors is an integer number (194400).

Almost surely, 2^4005480 is an apocalyptic number.

4005480 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 4005480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220800).

4005480 is an abundant number, since it is smaller than the sum of its proper divisors (8436120).

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

4005480 is a wasteful number, since it uses less digits than its factorization.

4005480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4005480 is about 2001.3695310961. The cubic root of 4005480 is about 158.8125634323.

The spelling of 4005480 in words is "four million, five thousand, four hundred eighty".