47833200 has 240 divisors, whose sum is σ = 175901440. Its totient is φ = 12337920.

The previous prime is 47833199. The next prime is 47833207. The reversal of 47833200 is 233874.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47833207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464349 + ... + 464451.

Almost surely, 2^47833200 is an apocalyptic number.

47833200 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 47833200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87950720).

47833200 is an abundant number, since it is smaller than the sum of its proper divisors (128068240).

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

47833200 is a wasteful number, since it uses less digits than its factorization.

47833200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 47833200 is about 6916.1550011549. The cubic root of 47833200 is about 363.0026637329.

The spelling of 47833200 in words is "forty-seven million, eight hundred thirty-three thousand, two hundred".