4019400 has 288 divisors, whose sum is σ = 17409600. Its totient is φ = 806400.

The previous prime is 4019387. The next prime is 4019401. The reversal of 4019400 is 49104.

4019400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4019401) 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 71 ways as a sum of consecutive naturals, for example, 138586 + ... + 138614.

It is an arithmetic number, because the mean of its divisors is an integer number (60450).

Almost surely, 2^4019400 is an apocalyptic number.

4019400 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 4019400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8704800).

4019400 is an abundant number, since it is smaller than the sum of its proper divisors (13390200).

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

4019400 is a wasteful number, since it uses less digits than its factorization.

4019400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4019400 is about 2004.8441335924. The cubic root of 4019400 is about 158.9963212629.

It can be divided in two parts, 401 and 9400, that added together give a square (9801 = 99²).

The spelling of 4019400 in words is "four million, nineteen thousand, four hundred".