47673600 has 216 divisors, whose sum is σ = 170322432. Its totient is φ = 11673600.

The previous prime is 47673583. The next prime is 47673601. The reversal of 47673600 is 637674.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47673601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 249505 + ... + 249695.

Almost surely, 2^47673600 is an apocalyptic number.

47673600 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 47673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85161216).

47673600 is an abundant number, since it is smaller than the sum of its proper divisors (122648832).

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

47673600 is a wasteful number, since it uses less digits than its factorization.

47673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 47673600 is about 6904.6071575434. The cubic root of 47673600 is about 362.5984829527.

The spelling of 47673600 in words is "forty-seven million, six hundred seventy-three thousand, six hundred".