49008 has 20 divisors (see below), whose sum is σ = 126728. Its totient is φ = 16320.

The previous prime is 49003. The next prime is 49009. The reversal of 49008 is 80094.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49003) by changing a digit.

49008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 463 + ... + 558.

2⁴⁹⁰⁰⁸ is an apocalyptic number.

49008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

49008 is an abundant number, since it is smaller than the sum of its proper divisors (77720).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63364).

49008 is a wasteful number, since it uses less digits than its factorization.

49008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 49008 is about 221.3775056323. The cubic root of 49008 is about 36.5950484508.

The spelling of 49008 in words is "forty-nine thousand, eight".