47914800 has 60 divisors (see below), whose sum is σ = 153490920. Its totient is φ = 12776960.

The previous prime is 47914781. The next prime is 47914813. The reversal of 47914800 is 841974.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18765 + ... + 21164.

It is an arithmetic number, because the mean of its divisors is an integer number (2558182).

Almost surely, 2^47914800 is an apocalyptic number.

47914800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47914800 is an abundant number, since it is smaller than the sum of its proper divisors (105576120).

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

47914800 is a wasteful number, since it uses less digits than its factorization.

47914800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39950 (or 39939 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 47914800 is about 6922.0517189631. The cubic root of 47914800 is about 363.2089652803.

It can be divided in two parts, 4791 and 4800, that added together give a triangular number (9591 = T₁₃₈).

The spelling of 47914800 in words is "forty-seven million, nine hundred fourteen thousand, eight hundred".