4381400 has 48 divisors (see below), whose sum is σ = 10732200. Its totient is φ = 1658880.

The previous prime is 4381379. The next prime is 4381409. The reversal of 4381400 is 41834.

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 (4381409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3224 + ... + 4376.

Almost surely, 2^4381400 is an apocalyptic number.

4381400 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 4381400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5366100).

4381400 is an abundant number, since it is smaller than the sum of its proper divisors (6350800).

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

4381400 is a wasteful number, since it uses less digits than its factorization.

4381400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4381400 is about 2093.1793998604. The cubic root of 4381400 is about 163.6330283645.

The spelling of 4381400 in words is "four million, three hundred eighty-one thousand, four hundred".