47248800 has 72 divisors (see below), whose sum is σ = 153802656. Its totient is φ = 12599040.

The previous prime is 47248781. The next prime is 47248807. The reversal of 47248800 is 884274.

It is not an unprimeable number, because it can be changed into a prime (47248807) 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, 7444 + ... + 12243.

It is an arithmetic number, because the mean of its divisors is an integer number (2136148).

Almost surely, 2^47248800 is an apocalyptic number.

47248800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47248800 is an abundant number, since it is smaller than the sum of its proper divisors (106553856).

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

47248800 is a wasteful number, since it uses less digits than its factorization.

47248800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19710 (or 19697 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 47248800 is about 6873.7762547235. The cubic root of 47248800 is about 361.5182791023.

The spelling of 47248800 in words is "forty-seven million, two hundred forty-eight thousand, eight hundred".