40048 has 10 divisors (see below), whose sum is σ = 77624. Its totient is φ = 20016.

The previous prime is 40039. The next prime is 40063. The reversal of 40048 is 84004.

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 2503 = 40048 / (4 + 0 + 0 + 4 + 8).

It is a congruent number.

It is an unprimeable number.

40048 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1236 + ... + 1267.

2⁴⁰⁰⁴⁸ is an apocalyptic number.

It is an amenable number.

40048 is a deficient number, since it is larger than the sum of its proper divisors (37576).

40048 is a wasteful number, since it uses less digits than its factorization.

40048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2505 counting only the distinct ones).

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

The square root of 40048 is about 200.1199640216. The cubic root of 40048 is about 34.2131932728.

Subtracting 40048 from its reverse (84004), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 40048 in words is "forty thousand, forty-eight".