48883680 has 144 divisors (see below), whose sum is σ = 169238160. Its totient is φ = 12847104.

The previous prime is 48883663. The next prime is 48883691. The reversal of 48883680 is 8638884.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×48883680² = 4779228340684800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119316 + ... + 119724.

It is an arithmetic number, because the mean of its divisors is an integer number (1175265).

Almost surely, 2^48883680 is an apocalyptic number.

48883680 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 48883680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84619080).

48883680 is an abundant number, since it is smaller than the sum of its proper divisors (120354480).

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

48883680 is a wasteful number, since it uses less digits than its factorization.

48883680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 48883680 is about 6991.6864918273. The cubic root of 48883680 is about 365.6407834519.

The spelling of 48883680 in words is "forty-eight million, eight hundred eighty-three thousand, six hundred eighty".