48890880 has 132 divisors (see below), whose sum is σ = 169565292. Its totient is φ = 13025280.

The previous prime is 48890879. The next prime is 48890921. The reversal of 48890880 is 8809884.

48890880 is a `hidden beast` number, since 488 + 90 + 8 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24920064 + 23970816 = 4992^2 + 4896^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45550 + ... + 46610.

Almost surely, 2^48890880 is an apocalyptic number.

48890880 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 48890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84782646).

48890880 is an abundant number, since it is smaller than the sum of its proper divisors (120674412).

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

48890880 is a wasteful number, since it uses less digits than its factorization.

48890880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 48890880 is about 6992.2013700980. The cubic root of 48890880 is about 365.6587341217.

It can be divided in two parts, 48890 and 880, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 48890880 in words is "forty-eight million, eight hundred ninety thousand, eight hundred eighty".