4481400 has 192 divisors, whose sum is σ = 17498880. Its totient is φ = 921600.

The previous prime is 4481383. The next prime is 4481401. The reversal of 4481400 is 41844.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4481401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46152 + ... + 46248.

It is an arithmetic number, because the mean of its divisors is an integer number (91140).

Almost surely, 2^4481400 is an apocalyptic number.

4481400 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 4481400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8749440).

4481400 is an abundant number, since it is smaller than the sum of its proper divisors (13017480).

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

4481400 is a wasteful number, since it uses less digits than its factorization.

4481400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4481400 is about 2116.9317419322. The cubic root of 4481400 is about 164.8685822260.

The spelling of 4481400 in words is "four million, four hundred eighty-one thousand, four hundred".