47863200 has 432 divisors, whose sum is σ = 203049504. Its totient is φ = 9676800.

The previous prime is 47863183. The next prime is 47863201. The reversal of 47863200 is 236874.

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

It is not an unprimeable number, because it can be changed into a prime (47863201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1293582 + ... + 1293618.

It is an arithmetic number, because the mean of its divisors is an integer number (470022).

Almost surely, 2^47863200 is an apocalyptic number.

47863200 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 47863200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101524752).

47863200 is an abundant number, since it is smaller than the sum of its proper divisors (155186304).

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

47863200 is a wasteful number, since it uses less digits than its factorization.

47863200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 47863200 is about 6918.3234963393. The cubic root of 47863200 is about 363.0785371432.

The spelling of 47863200 in words is "forty-seven million, eight hundred sixty-three thousand, two hundred".