47845200 has 120 divisors (see below), whose sum is σ = 165107488. Its totient is φ = 11773440.

The previous prime is 47845159. The next prime is 47845219. The reversal of 47845200 is 254874.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 14067 + ... + 17133.

Almost surely, 2^47845200 is an apocalyptic number.

47845200 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 47845200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82553744).

47845200 is an abundant number, since it is smaller than the sum of its proper divisors (117262288).

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

47845200 is a wasteful number, since it uses less digits than its factorization.

47845200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3101 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 47845200 is about 6917.0224808078. The cubic root of 47845200 is about 363.0330169029.

The spelling of 47845200 in words is "forty-seven million, eight hundred forty-five thousand, two hundred".