48318624 has 144 divisors (see below), whose sum is σ = 148599360. Its totient is φ = 14837760.

The previous prime is 48318617. The next prime is 48318629. The reversal of 48318624 is 42681384.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48318629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347547 + ... + 347685.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^48318624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48318624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680).

48318624 is an abundant number, since it is smaller than the sum of its proper divisors (100280736).

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

48318624 is a wasteful number, since it uses less digits than its factorization.

48318624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 232 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 48318624 is about 6951.1599032104. The cubic root of 48318624 is about 364.2264822463.

The spelling of 48318624 in words is "forty-eight million, three hundred eighteen thousand, six hundred twenty-four".