48014880 has 96 divisors (see below), whose sum is σ = 153607104. Its totient is φ = 12604416.

The previous prime is 48014867. The next prime is 48014893. The reversal of 48014880 is 8841084.

It is an interprime number because it is at equal distance from previous prime (48014867) and next prime (48014893).

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

It is an unprimeable number.

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, 31414 + ... + 32906.

It is an arithmetic number, because the mean of its divisors is an integer number (1600074).

Almost surely, 2^48014880 is an apocalyptic number.

48014880 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 48014880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76803552).

48014880 is an abundant number, since it is smaller than the sum of its proper divisors (105592224).

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

48014880 is a wasteful number, since it uses less digits than its factorization.

48014880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 48014880 is about 6929.2770185641. The cubic root of 48014880 is about 363.4616685121.

The spelling of 48014880 in words is "forty-eight million, fourteen thousand, eight hundred eighty".