47102400 has 126 divisors (see below), whose sum is σ = 167464232. Its totient is φ = 12556800.

The previous prime is 47102383. The next prime is 47102401. The reversal of 47102400 is 420174.

It is a happy number.

47102400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47102401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12765 + ... + 16035.

Almost surely, 2^47102400 is an apocalyptic number.

47102400 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 47102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83732116).

47102400 is an abundant number, since it is smaller than the sum of its proper divisors (120361832).

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

47102400 is a wasteful number, since it uses less digits than its factorization.

47102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 47102400 is about 6863.1188245578. The cubic root of 47102400 is about 361.1445056997.

Adding to 47102400 its reverse (420174), we get a palindrome (47522574).

The spelling of 47102400 in words is "forty-seven million, one hundred two thousand, four hundred".