47034800 has 60 divisors (see below), whose sum is σ = 114974040. Its totient is φ = 18485760.

The previous prime is 47034787. The next prime is 47034803. The reversal of 47034800 is 843074.

47034800 = T₂₇₁ + T₂₇₂ + ... + T₆₇₀.

47034800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×47034800² = 4424544822080000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 47034800.

It is not an unprimeable number, because it can be changed into a prime (47034803) 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 11 ways as a sum of consecutive naturals, for example, 22604 + ... + 24596.

It is an arithmetic number, because the mean of its divisors is an integer number (1916234).

Almost surely, 2^47034800 is an apocalyptic number.

47034800 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 47034800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57487020).

47034800 is an abundant number, since it is smaller than the sum of its proper divisors (67939240).

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

47034800 is a wasteful number, since it uses less digits than its factorization.

47034800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 47034800 is about 6858.1921816175. The cubic root of 47034800 is about 360.9716549389.

Adding to 47034800 its reverse (843074), we get a palindrome (47877874).

The spelling of 47034800 in words is "forty-seven million, thirty-four thousand, eight hundred".