4008240 has 120 divisors (see below), whose sum is σ = 14217840. Its totient is φ = 1009152.

The previous prime is 4008239. The next prime is 4008253. The reversal of 4008240 is 428004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13534 + ... + 13826.

It is an arithmetic number, because the mean of its divisors is an integer number (118482).

Almost surely, 2^4008240 is an apocalyptic number.

4008240 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 4008240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7108920).

4008240 is an abundant number, since it is smaller than the sum of its proper divisors (10209600).

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

4008240 is a wasteful number, since it uses less digits than its factorization.

4008240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 322 counting only the distinct ones).

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

The square root of 4008240 is about 2002.0589401913. The cubic root of 4008240 is about 158.8490319735.

The spelling of 4008240 in words is "four million, eight thousand, two hundred forty".