47354944 has 112 divisors (see below), whose sum is σ = 118798848. Its totient is φ = 18229248.

The previous prime is 47354939. The next prime is 47354947. The reversal of 47354944 is 44945374.

It is a tau number, because it is divible by the number of its divisors (112).

Its product of digits (241920) is a multiple of the sum of its prime factors (252).

It is a junction number, because it is equal to n+sod(n) for n = 47354897 and 47354906.

It is not an unprimeable number, because it can be changed into a prime (47354947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273642 + ... + 273814.

It is an arithmetic number, because the mean of its divisors is an integer number (1060704).

Almost surely, 2^47354944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47354944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59399424).

47354944 is an abundant number, since it is smaller than the sum of its proper divisors (71443904).

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

47354944 is a wasteful number, since it uses less digits than its factorization.

47354944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

The product of its digits is 241920, while the sum is 40.

The square root of 47354944 is about 6881.4928612911. The cubic root of 47354944 is about 361.7887924780.

It can be divided in two parts, 4 and 7354944, that multiplied together give a square (29419776 = 5424²).

The spelling of 47354944 in words is "forty-seven million, three hundred fifty-four thousand, nine hundred forty-four".