48097920 has 256 divisors, whose sum is σ = 172730880. Its totient is φ = 11304960.

The previous prime is 48097909. The next prime is 48097937. The reversal of 48097920 is 2979084.

48097920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×48097920³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1023337 + ... + 1023383.

It is an arithmetic number, because the mean of its divisors is an integer number (674730).

Almost surely, 2^48097920 is an apocalyptic number.

48097920 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 48097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86365440).

48097920 is an abundant number, since it is smaller than the sum of its proper divisors (124632960).

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

48097920 is a wasteful number, since it uses less digits than its factorization.

48097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 48097920 is about 6935.2663971905. The cubic root of 48097920 is about 363.6710791099.

The spelling of 48097920 in words is "forty-eight million, ninety-seven thousand, nine hundred twenty".