48009024 has 224 divisors, whose sum is σ = 166624000. Its totient is φ = 13716864.

The previous prime is 48009023. The next prime is 48009061. The reversal of 48009024 is 42090084.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (224).

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=252.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48009023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6858429 + ... + 6858435.

Almost surely, 2^48009024 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 48009024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83312000).

48009024 is an abundant number, since it is smaller than the sum of its proper divisors (118614976).

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

48009024 is an frugal number, since it uses more digits than its factorization.

48009024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 12 counting only the distinct ones).

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

The square root of 48009024 is about 6928.8544507732. The cubic root of 48009024 is about 363.4468917175.

It can be divided in two parts, 4800 and 9024, that added together give a cube (13824 = 24³).

The spelling of 48009024 in words is "forty-eight million, nine thousand, twenty-four".