47791600 has 60 divisors (see below), whose sum is σ = 115681336. Its totient is φ = 18973440.

The previous prime is 47791589. The next prime is 47791661. The reversal of 47791600 is 619774.

47791600 = T₂₇₅ + T₂₇₆ + ... + T₆₇₄.

It is a congruent number.

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, 64834 + ... + 65566.

Almost surely, 2^47791600 is an apocalyptic number.

47791600 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 47791600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57840668).

47791600 is an abundant number, since it is smaller than the sum of its proper divisors (67889736).

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

47791600 is a wasteful number, since it uses less digits than its factorization.

47791600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 47791600 is about 6913.1468955896. The cubic root of 47791600 is about 362.8974000902.

The spelling of 47791600 in words is "forty-seven million, seven hundred ninety-one thousand, six hundred".