47132800 has 192 divisors, whose sum is σ = 138116160. Its totient is φ = 15667200.

The previous prime is 47132797. The next prime is 47132807. The reversal of 47132800 is 823174.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (47132807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457549 + ... + 457651.

It is an arithmetic number, because the mean of its divisors is an integer number (719355).

Almost surely, 2^47132800 is an apocalyptic number.

47132800 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 47132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69058080).

47132800 is an abundant number, since it is smaller than the sum of its proper divisors (90983360).

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

47132800 is a wasteful number, since it uses less digits than its factorization.

47132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 47132800 is about 6865.3332038584. Note that the first 3 decimals coincide. The cubic root of 47132800 is about 361.2221834961. Note that the first 3 decimals are identical.

Adding to 47132800 its reverse (823174), we get a palindrome (47955974).

The spelling of 47132800 in words is "forty-seven million, one hundred thirty-two thousand, eight hundred".