4480400 has 60 divisors (see below), whose sum is σ = 11255232. Its totient is φ = 1710720.

The previous prime is 4480379. The next prime is 4480403. The reversal of 4480400 is 40844.

4480400 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4480403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8957 + ... + 9443.

Almost surely, 2^4480400 is an apocalyptic number.

4480400 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 4480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5627616).

4480400 is an abundant number, since it is smaller than the sum of its proper divisors (6774832).

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

4480400 is a wasteful number, since it uses less digits than its factorization.

4480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4480400 is about 2116.6955378608. The cubic root of 4480400 is about 164.8563181384.

The spelling of 4480400 in words is "four million, four hundred eighty thousand, four hundred".