4490400 has 72 divisors (see below), whose sum is σ = 14624064. Its totient is φ = 1196800.

The previous prime is 4490399. The next prime is 4490401. The reversal of 4490400 is 40944.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4490399) and next prime (4490401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4490401) 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, 1465 + ... + 3335.

It is an arithmetic number, because the mean of its divisors is an integer number (203112).

Almost surely, 2^4490400 is an apocalyptic number.

4490400 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 4490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312032).

4490400 is an abundant number, since it is smaller than the sum of its proper divisors (10133664).

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

4490400 is a wasteful number, since it uses less digits than its factorization.

4490400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4490400 is about 2119.0563937753. The cubic root of 4490400 is about 164.9788770021.

The spelling of 4490400 in words is "four million, four hundred ninety thousand, four hundred".