4551840 has 144 divisors (see below), whose sum is σ = 16216200. Its totient is φ = 1161216.

The previous prime is 4551839. The next prime is 4551847. The reversal of 4551840 is 481554.

It can be written as a sum of positive squares in 4 ways, for example, as 4016016 + 535824 = 2004^2 + 732^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (4551847) 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, 41706 + ... + 41814.

Almost surely, 2^4551840 is an apocalyptic number.

4551840 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 4551840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8108100).

4551840 is an abundant number, since it is smaller than the sum of its proper divisors (11664360).

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

4551840 is a wasteful number, since it uses less digits than its factorization.

4551840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 4551840 is about 2133.5041598272. The cubic root of 4551840 is about 165.7279134934.

The spelling of 4551840 in words is "four million, five hundred fifty-one thousand, eight hundred forty".