4002480 has 160 divisors (see below), whose sum is σ = 14731200. Its totient is φ = 995328.

The previous prime is 4002457. The next prime is 4002499. The reversal of 4002480 is 842004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36666 + ... + 36774.

It is an arithmetic number, because the mean of its divisors is an integer number (92070).

Almost surely, 2^4002480 is an apocalyptic number.

4002480 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 4002480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7365600).

4002480 is an abundant number, since it is smaller than the sum of its proper divisors (10728720).

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

4002480 is a wasteful number, since it uses less digits than its factorization.

4002480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4002480 is about 2000.6199039298. The cubic root of 4002480 is about 158.7729047076.

Adding to 4002480 its reverse (842004), we get a palindrome (4844484).

It can be divided in two parts, 40024 and 80, that added together give a palindrome (40104).

The spelling of 4002480 in words is "four million, two thousand, four hundred eighty".