47674800 has 360 divisors, whose sum is σ = 188894160. Its totient is φ = 11059200.

The previous prime is 47674793. The next prime is 47674853. The reversal of 47674800 is 847674.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1162780 + ... + 1162820.

It is an arithmetic number, because the mean of its divisors is an integer number (524706).

Almost surely, 2^47674800 is an apocalyptic number.

47674800 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 47674800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94447080).

47674800 is an abundant number, since it is smaller than the sum of its proper divisors (141219360).

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

47674800 is a wasteful number, since it uses less digits than its factorization.

47674800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 47674800 is about 6904.6940554959. The cubic root of 47674800 is about 362.6015252691.

The spelling of 47674800 in words is "forty-seven million, six hundred seventy-four thousand, eight hundred".