47044800 has 378 divisors, whose sum is σ = 190598044. Its totient is φ = 11404800.

The previous prime is 47044793. The next prime is 47044801. The reversal of 47044800 is 844074.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (47044801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4276795 + ... + 4276805.

Almost surely, 2^47044800 is an apocalyptic number.

47044800 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 47044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95299022).

47044800 is an abundant number, since it is smaller than the sum of its proper divisors (143553244).

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

47044800 is a wasteful number, since it uses less digits than its factorization.

47044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 47044800 is about 6858.9211979728. The cubic root of 47044800 is about 360.9972350113.

Multiplying 47044800 by its sum of digits (27), we get a square (1270209600 = 35640²).

47044800 divided by its sum of digits (27) gives a square (1742400 = 1320²).

Adding to 47044800 its reverse (844074), we get a palindrome (47888874).

The spelling of 47044800 in words is "forty-seven million, forty-four thousand, eight hundred".