48001920 has 128 divisors (see below), whose sum is σ = 159805440. Its totient is φ = 12232704.

The previous prime is 48001907. The next prime is 48001957. The reversal of 48001920 is 2910084.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43617 + ... + 44703.

It is an arithmetic number, because the mean of its divisors is an integer number (1248480).

Almost surely, 2^48001920 is an apocalyptic number.

48001920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79902720).

48001920 is an abundant number, since it is smaller than the sum of its proper divisors (111803520).

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

48001920 is a wasteful number, since it uses less digits than its factorization.

48001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 48001920 is about 6928.3417929545. The cubic root of 48001920 is about 363.4289641567.

The spelling of 48001920 in words is "forty-eight million, one thousand, nine hundred twenty".