4291920 has 80 divisors (see below), whose sum is σ = 14790720. Its totient is φ = 1143936.

The previous prime is 4291867. The next prime is 4291933. The reversal of 4291920 is 291924.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167 + ... + 3153.

It is an arithmetic number, because the mean of its divisors is an integer number (184884).

Almost surely, 2^4291920 is an apocalyptic number.

4291920 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 4291920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7395360).

4291920 is an abundant number, since it is smaller than the sum of its proper divisors (10498800).

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

4291920 is a wasteful number, since it uses less digits than its factorization.

4291920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 4291920 is about 2071.6949582407. The cubic root of 4291920 is about 162.5114153716.

The spelling of 4291920 in words is "four million, two hundred ninety-one thousand, nine hundred twenty".