48254880 has 96 divisors (see below), whose sum is σ = 153014400. Its totient is φ = 12782592.

The previous prime is 48254873. The next prime is 48254887. The reversal of 48254880 is 8845284.

It is an interprime number because it is at equal distance from previous prime (48254873) and next prime (48254887).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (48254887) 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 15 ways as a sum of consecutive naturals, for example, 109701 + ... + 110139.

It is an arithmetic number, because the mean of its divisors is an integer number (1593900).

Almost surely, 2^48254880 is an apocalyptic number.

48254880 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 48254880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76507200).

48254880 is an abundant number, since it is smaller than the sum of its proper divisors (104759520).

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

48254880 is a wasteful number, since it uses less digits than its factorization.

48254880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 48254880 is about 6946.5732559299. The cubic root of 48254880 is about 364.0662440318.

The spelling of 48254880 in words is "forty-eight million, two hundred fifty-four thousand, eight hundred eighty".