47856000 has 128 divisors (see below), whose sum is σ = 158801760. Its totient is φ = 12748800.

The previous prime is 47855999. The next prime is 47856001. The reversal of 47856000 is 65874.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (47855999) and next prime (47856001).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47856001) 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 15 ways as a sum of consecutive naturals, for example, 47502 + ... + 48498.

Almost surely, 2^47856000 is an apocalyptic number.

47856000 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 47856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79400880).

47856000 is an abundant number, since it is smaller than the sum of its proper divisors (110945760).

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

47856000 is an equidigital number, since it uses as much as digits as its factorization.

47856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 47856000 is about 6917.8031194882. The cubic root of 47856000 is about 363.0603304168.

The spelling of 47856000 in words is "forty-seven million, eight hundred fifty-six thousand".