47438720 has 64 divisors (see below), whose sum is σ = 129621600. Its totient is φ = 16263168.

The previous prime is 47438707. The next prime is 47438737. The reversal of 47438720 is 2783474.

47438720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 815 + ... + 9774.

Almost surely, 2^47438720 is an apocalyptic number.

47438720 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 47438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64810800).

47438720 is an abundant number, since it is smaller than the sum of its proper divisors (82182880).

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

47438720 is a wasteful number, since it uses less digits than its factorization.

47438720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10615 (or 10603 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The square root of 47438720 is about 6887.5772227976. The cubic root of 47438720 is about 362.0020145793.

The spelling of 47438720 in words is "forty-seven million, four hundred thirty-eight thousand, seven hundred twenty".