47734400 has 96 divisors (see below), whose sum is σ = 134827680. Its totient is φ = 16358400.

The previous prime is 47734399. The next prime is 47734417. The reversal of 47734400 is 443774.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21335 + ... + 23465.

It is an arithmetic number, because the mean of its divisors is an integer number (1404455).

Almost surely, 2^47734400 is an apocalyptic number.

47734400 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 47734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67413840).

47734400 is an abundant number, since it is smaller than the sum of its proper divisors (87093280).

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

47734400 is a wasteful number, since it uses less digits than its factorization.

47734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 29.

The square root of 47734400 is about 6909.0086119501. The cubic root of 47734400 is about 362.7525627953.

The spelling of 47734400 in words is "forty-seven million, seven hundred thirty-four thousand, four hundred".