47746920 has 128 divisors (see below), whose sum is σ = 156119040. Its totient is φ = 11612160.

The previous prime is 47746879. The next prime is 47746921. The reversal of 47746920 is 2964774.

47746920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (47746921) 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 31 ways as a sum of consecutive naturals, for example, 198000 + ... + 198240.

It is an arithmetic number, because the mean of its divisors is an integer number (1219680).

Almost surely, 2^47746920 is an apocalyptic number.

47746920 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 47746920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78059520).

47746920 is an abundant number, since it is smaller than the sum of its proper divisors (108372120).

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

47746920 is a wasteful number, since it uses less digits than its factorization.

47746920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 47746920 is about 6909.9146159703. The cubic root of 47746920 is about 362.7842748316.

The spelling of 47746920 in words is "forty-seven million, seven hundred forty-six thousand, nine hundred twenty".