4484800 has 42 divisors (see below), whose sum is σ = 11039348. Its totient is φ = 1793280.

The previous prime is 4484791. The next prime is 4484803. The reversal of 4484800 is 84844.

4484800 = 120² + 121² + ... + 247².

It is a happy number.

It is a super-2 number, since 2×4484800² = 40226862080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4484803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 199 + ... + 3001.

Almost surely, 2^4484800 is an apocalyptic number.

4484800 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 4484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5519674).

4484800 is an abundant number, since it is smaller than the sum of its proper divisors (6554548).

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

4484800 is a wasteful number, since it uses less digits than its factorization.

4484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 4484800 is about 2117.7346387118. The cubic root of 4484800 is about 164.9102664822.

The spelling of 4484800 in words is "four million, four hundred eighty-four thousand, eight hundred".