48666880 has 72 divisors (see below), whose sum is σ = 117771192. Its totient is φ = 19267584.

The previous prime is 48666859. The next prime is 48666881. The reversal of 48666880 is 8866684.

It can be written as a sum of positive squares in 4 ways, for example, as 11505664 + 37161216 = 3392^2 + 6096^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 48666880.

It is not an unprimeable number, because it can be changed into a prime (48666881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246942 + ... + 247138.

It is an arithmetic number, because the mean of its divisors is an integer number (1635711).

Almost surely, 2^48666880 is an apocalyptic number.

48666880 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 48666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58885596).

48666880 is an abundant number, since it is smaller than the sum of its proper divisors (69104312).

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

48666880 is a wasteful number, since it uses less digits than its factorization.

48666880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The square root of 48666880 is about 6976.1651356601. The cubic root of 48666880 is about 365.0994412236.

The spelling of 48666880 in words is "forty-eight million, six hundred sixty-six thousand, eight hundred eighty".