47049600 has 288 divisors, whose sum is σ = 173593800. Its totient is φ = 11182080.

The previous prime is 47049577. The next prime is 47049601. The reversal of 47049600 is 694074.

47049600 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47049601) 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 35 ways as a sum of consecutive naturals, for example, 1622386 + ... + 1622414.

Almost surely, 2^47049600 is an apocalyptic number.

47049600 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 47049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86796900).

47049600 is an abundant number, since it is smaller than the sum of its proper divisors (126544200).

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

47049600 is a wasteful number, since it uses less digits than its factorization.

47049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 47049600 is about 6859.2710983019. The cubic root of 47049600 is about 361.0095121585.

It can be divided in two parts, 4704 and 9600, that multiplied together give a square (45158400 = 6720²).

The spelling of 47049600 in words is "forty-seven million, forty-nine thousand, six hundred".