48676800 has 84 divisors (see below), whose sum is σ = 159716216. Its totient is φ = 12979200.

The previous prime is 48676777. The next prime is 48676801. The reversal of 48676800 is 867684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48676801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271 + ... + 9870.

Almost surely, 2^48676800 is an apocalyptic number.

48676800 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 48676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79858108).

48676800 is an abundant number, since it is smaller than the sum of its proper divisors (111039416).

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

48676800 is a wasteful number, since it uses less digits than its factorization.

48676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10166 (or 10151 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 48676800 is about 6976.8760917763. The cubic root of 48676800 is about 365.1242461861.

The spelling of 48676800 in words is "forty-eight million, six hundred seventy-six thousand, eight hundred".