4000480 has 48 divisors (see below), whose sum is σ = 10314864. Its totient is φ = 1454080.

The previous prime is 4000439. The next prime is 4000489. The reversal of 4000480 is 840004.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000489) 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, 624 + ... + 2896.

It is an arithmetic number, because the mean of its divisors is an integer number (214893).

Almost surely, 2^4000480 is an apocalyptic number.

4000480 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 4000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5157432).

4000480 is an abundant number, since it is smaller than the sum of its proper divisors (6314384).

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

4000480 is a wasteful number, since it uses less digits than its factorization.

4000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4000480 is about 2000.1199964002. The cubic root of 4000480 is about 158.7464545471.

Adding to 4000480 its reverse (840004), we get a palindrome (4840484).

The spelling of 4000480 in words is "four million, four hundred eighty", and thus it is an aban number.