47805600 has 72 divisors (see below), whose sum is σ = 155615040. Its totient is φ = 12747520.

The previous prime is 47805599. The next prime is 47805613. The reversal of 47805600 is 650874.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 7560 + ... + 12359.

It is an arithmetic number, because the mean of its divisors is an integer number (2161320).

Almost surely, 2^47805600 is an apocalyptic number.

47805600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47805600 is an abundant number, since it is smaller than the sum of its proper divisors (107809440).

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

47805600 is a wasteful number, since it uses less digits than its factorization.

47805600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19942 (or 19929 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 47805600 is about 6914.1593849144. The cubic root of 47805600 is about 362.9328321716.

The spelling of 47805600 in words is "forty-seven million, eight hundred five thousand, six hundred".