47689200 has 180 divisors, whose sum is σ = 178400040. Its totient is φ = 11727360.

The previous prime is 47689171. The next prime is 47689211. The reversal of 47689200 is 298674.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46291 + ... + 47309.

Almost surely, 2^47689200 is an apocalyptic number.

47689200 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 47689200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89200020).

47689200 is an abundant number, since it is smaller than the sum of its proper divisors (130710840).

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

47689200 is a wasteful number, since it uses less digits than its factorization.

47689200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 47689200 is about 6905.7367456340. The cubic root of 47689200 is about 362.6380290848.

It can be divided in two parts, 476 and 89200, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 47689200 in words is "forty-seven million, six hundred eighty-nine thousand, two hundred".