48578880 has 112 divisors (see below), whose sum is σ = 176296320. Its totient is φ = 11102208.

The previous prime is 48578851. The next prime is 48578903. The reversal of 48578880 is 8887584.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3106 + ... + 10334.

Almost surely, 2^48578880 is an apocalyptic number.

48578880 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 48578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88148160).

48578880 is an abundant number, since it is smaller than the sum of its proper divisors (127717440).

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

48578880 is a wasteful number, since it uses less digits than its factorization.

48578880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7256 (or 7246 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 48.

The square root of 48578880 is about 6969.8550917505. The cubic root of 48578880 is about 364.8792494800.

The spelling of 48578880 in words is "forty-eight million, five hundred seventy-eight thousand, eight hundred eighty".