4432920 has 128 divisors (see below), whose sum is σ = 14696640. Its totient is φ = 1064960.

The previous prime is 4432889. The next prime is 4432943. The reversal of 4432920 is 292344.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83614 + ... + 83666.

Almost surely, 2^4432920 is an apocalyptic number.

4432920 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 4432920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7348320).

4432920 is an abundant number, since it is smaller than the sum of its proper divisors (10263720).

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

4432920 is a wasteful number, since it uses less digits than its factorization.

4432920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 4432920 is about 2105.4500706500. The cubic root of 4432920 is about 164.2719066620.

The spelling of 4432920 in words is "four million, four hundred thirty-two thousand, nine hundred twenty".