47846800 has 30 divisors (see below), whose sum is σ = 114952898. Its totient is φ = 19138560.

The previous prime is 47846797. The next prime is 47846819. The reversal of 47846800 is 864874.

It can be written as a sum of positive squares in 3 ways, for example, as 3810304 + 44036496 = 1952^2 + 6636^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 47846800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59409 + ... + 60208.

Almost surely, 2^47846800 is an apocalyptic number.

47846800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47846800 is an abundant number, since it is smaller than the sum of its proper divisors (67106098).

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

47846800 is a wasteful number, since it uses less digits than its factorization.

47846800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119635 (or 119624 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 47846800 is about 6917.1381365417. The cubic root of 47846800 is about 363.0370636087.

It can be divided in two parts, 478 and 46800, that added together give a triangular number (47278 = T₃₀₇).

The spelling of 47846800 in words is "forty-seven million, eight hundred forty-six thousand, eight hundred".