47948800 has 66 divisors (see below), whose sum is σ = 118918418. Its totient is φ = 19169280.

The previous prime is 47948779. The next prime is 47948819. The reversal of 47948800 is 884974.

It can be written as a sum of positive squares in 3 ways, for example, as 173056 + 47775744 = 416^2 + 6912^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24664 + ... + 26536.

Almost surely, 2^47948800 is an apocalyptic number.

47948800 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 47948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59459209).

47948800 is an abundant number, since it is smaller than the sum of its proper divisors (70969618).

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

47948800 is a wasteful number, since it uses less digits than its factorization.

47948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 47948800 is about 6924.5072026824. The cubic root of 47948800 is about 363.2948551308.

The spelling of 47948800 in words is "forty-seven million, nine hundred forty-eight thousand, eight hundred".