47400 has 48 divisors (see below), whose sum is σ = 148800. Its totient is φ = 12480.

The previous prime is 47389. The next prime is 47407. The reversal of 47400 is 474.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 47400.

It is not an unprimeable number, because it can be changed into a prime (47407) by changing a digit.

47400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561 + ... + 639.

It is an arithmetic number, because the mean of its divisors is an integer number (3100).

2⁴⁷⁴⁰⁰ is an apocalyptic number.

47400 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 47400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74400).

47400 is an abundant number, since it is smaller than the sum of its proper divisors (101400).

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

47400 is a wasteful number, since it uses less digits than its factorization.

47400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 47400 is about 217.7154105708. The cubic root of 47400 is about 36.1903497775.

47400 divided by its sum of digits (15) gives a triangular number (3160 = T₇₉).

Adding to 47400 its reverse (474), we get a palindrome (47874).

Multiplying 47400 by its reverse (474), we get a square (22467600 = 4740²).

47400 divided by its reverse (474) gives a square (100 = 10²).

The spelling of 47400 in words is "forty-seven thousand, four hundred", and thus it is an iban number.