4147920 has 120 divisors (see below), whose sum is σ = 15939456. Its totient is φ = 946944.

The previous prime is 4147883. The next prime is 4147921. The reversal of 4147920 is 297414.

It is a happy number.

4147920 is digitally balanced in base 8, 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 (120).

4147920 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4147921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4629 + ... + 5451.

Almost surely, 2^4147920 is an apocalyptic number.

4147920 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 4147920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7969728).

4147920 is an abundant number, since it is smaller than the sum of its proper divisors (11791536).

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

4147920 is a wasteful number, since it uses less digits than its factorization.

4147920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4147920 is about 2036.6442988406. The cubic root of 4147920 is about 160.6732051616.

It can be divided in two parts, 41 and 47920, that added together give a square (47961 = 219²).

The spelling of 4147920 in words is "four million, one hundred forty-seven thousand, nine hundred twenty".