4008249 has 36 divisors (see below), whose sum is σ = 6891300. Its totient is φ = 2237760.

The previous prime is 4008239. The next prime is 4008253. The reversal of 4008249 is 9428004.

It can be written as a sum of positive squares in 2 ways, for example, as 275625 + 3732624 = 525^2 + 1932^2 .

It is not a de Polignac number, because 4008249 - 2⁵ = 4008217 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4008239) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26827 + ... + 26975.

It is an arithmetic number, because the mean of its divisors is an integer number (191425).

Almost surely, 2^4008249 is an apocalyptic number.

4008249 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

4008249 is a deficient number, since it is larger than the sum of its proper divisors (2883051).

4008249 is a wasteful number, since it uses less digits than its factorization.

4008249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4008249 is about 2002.0611878761. The cubic root of 4008249 is about 158.8491508653.

It can be divided in two parts, 400 and 8249, that added together give a square (8649 = 93²).

The spelling of 4008249 in words is "four million, eight thousand, two hundred forty-nine".