4417920 has 192 divisors, whose sum is σ = 16707600. Its totient is φ = 1069056.

The previous prime is 4417883. The next prime is 4417927. The reversal of 4417920 is 297144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4417927) 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, 74851 + ... + 74909.

Almost surely, 2^4417920 is an apocalyptic number.

4417920 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 4417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8353800).

4417920 is an abundant number, since it is smaller than the sum of its proper divisors (12289680).

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

4417920 is a wasteful number, since it uses less digits than its factorization.

4417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 82 counting only the distinct ones).

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

The square root of 4417920 is about 2101.8848683979. The cubic root of 4417920 is about 164.0864109368.

The spelling of 4417920 in words is "four million, four hundred seventeen thousand, nine hundred twenty".