48253920 has 384 divisors, whose sum is σ = 193052160. Its totient is φ = 9953280.

The previous prime is 48253879. The next prime is 48253921. The reversal of 48253920 is 2935284.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48253921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1304142 + ... + 1304178.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 2^48253920 is an apocalyptic number.

48253920 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 48253920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96526080).

48253920 is an abundant number, since it is smaller than the sum of its proper divisors (144798240).

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

48253920 is a wasteful number, since it uses less digits than its factorization.

48253920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 48253920 is about 6946.5041567684. The cubic root of 48253920 is about 364.0638297274.

The spelling of 48253920 in words is "forty-eight million, two hundred fifty-three thousand, nine hundred twenty".