48074880 has 256 divisors, whose sum is σ = 181152000. Its totient is φ = 10838016.

The previous prime is 48074857. The next prime is 48074909. The reversal of 48074880 is 8847084.

It is a super-3 number, since 3×48074880³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 658524 + ... + 658596.

It is an arithmetic number, because the mean of its divisors is an integer number (707625).

Almost surely, 2^48074880 is an apocalyptic number.

48074880 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 48074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90576000).

48074880 is an abundant number, since it is smaller than the sum of its proper divisors (133077120).

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

48074880 is an equidigital number, since it uses as much as digits as its factorization.

48074880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 48074880 is about 6933.6051228780. The cubic root of 48074880 is about 363.6130009233.

The spelling of 48074880 in words is "forty-eight million, seventy-four thousand, eight hundred eighty".