4531920 has 80 divisors (see below), whose sum is σ = 14677632. Its totient is φ = 1154560.

The previous prime is 4531903. The next prime is 4531931. The reversal of 4531920 is 291354.

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 (24).

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, 5110 + ... + 5930.

Almost surely, 2^4531920 is an apocalyptic number.

4531920 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 4531920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7338816).

4531920 is an abundant number, since it is smaller than the sum of its proper divisors (10145712).

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

4531920 is a wasteful number, since it uses less digits than its factorization.

4531920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 4531920 is about 2128.8306649426. The cubic root of 4531920 is about 165.4858042545.

The spelling of 4531920 in words is "four million, five hundred thirty-one thousand, nine hundred twenty".