47895600 has 120 divisors (see below), whose sum is σ = 154990080. Its totient is φ = 12642560.

The previous prime is 47895583. The next prime is 47895619. The reversal of 47895600 is 659874.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200281 + ... + 200519.

It is an arithmetic number, because the mean of its divisors is an integer number (1291584).

Almost surely, 2^47895600 is an apocalyptic number.

47895600 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 47895600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77495040).

47895600 is an abundant number, since it is smaller than the sum of its proper divisors (107094480).

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

47895600 is a wasteful number, since it uses less digits than its factorization.

47895600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 47895600 is about 6920.6647079598. The cubic root of 47895600 is about 363.1604448245.

The spelling of 47895600 in words is "forty-seven million, eight hundred ninety-five thousand, six hundred".