47108400 has 120 divisors (see below), whose sum is σ = 155128464. Its totient is φ = 12211200.

The previous prime is 47108387. The next prime is 47108407. The reversal of 47108400 is 480174.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47108407) 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, 43870 + ... + 44930.

Almost surely, 2^47108400 is an apocalyptic number.

47108400 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 47108400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77564232).

47108400 is an abundant number, since it is smaller than the sum of its proper divisors (108020064).

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

47108400 is a wasteful number, since it uses less digits than its factorization.

47108400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 47108400 is about 6863.5559296913. Note that the first 3 decimals coincide. The cubic root of 47108400 is about 361.1598394905.

Adding to 47108400 its reverse (480174), we get a palindrome (47588574).

The spelling of 47108400 in words is "forty-seven million, one hundred eight thousand, four hundred".