48862800 has 270 divisors, whose sum is σ = 197964078. Its totient is φ = 11128320.

The previous prime is 48862799. The next prime is 48862817. The reversal of 48862800 is 826884.

It can be written as a sum of positive squares in 3 ways, for example, as 254016 + 48608784 = 504^2 + 6972^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 176262 + ... + 176538.

Almost surely, 2^48862800 is an apocalyptic number.

48862800 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 48862800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98982039).

48862800 is an abundant number, since it is smaller than the sum of its proper divisors (149101278).

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

48862800 is a wasteful number, since it uses less digits than its factorization.

48862800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 48862800 is about 6990.1931303792. The cubic root of 48862800 is about 365.5887165397.

The spelling of 48862800 in words is "forty-eight million, eight hundred sixty-two thousand, eight hundred".