47865600 has 216 divisors, whose sum is σ = 176151920. Its totient is φ = 12718080.

The previous prime is 47865551. The next prime is 47865607. The reversal of 47865600 is 656874.

It is a happy number.

47865600 is a `hidden beast` number, since 47 + 8 + 6 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×47865600² = 4582231326720000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47865607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172662 + ... + 172938.

Almost surely, 2^47865600 is an apocalyptic number.

47865600 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 47865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88075960).

47865600 is an abundant number, since it is smaller than the sum of its proper divisors (128286320).

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

47865600 is a wasteful number, since it uses less digits than its factorization.

47865600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 47865600 is about 6918.4969465918. The cubic root of 47865600 is about 363.0846056463.

The spelling of 47865600 in words is "forty-seven million, eight hundred sixty-five thousand, six hundred".