4082400 has 252 divisors, whose sum is σ = 17077032. Its totient is φ = 933120.

The previous prime is 4082389. The next prime is 4082401. The reversal of 4082400 is 42804.

It is a happy number.

4082400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 6 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4082401) 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 41 ways as a sum of consecutive naturals, for example, 583197 + ... + 583203.

It is an arithmetic number, because the mean of its divisors is an integer number (67766).

Almost surely, 2^4082400 is an apocalyptic number.

4082400 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 4082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8538516).

4082400 is an abundant number, since it is smaller than the sum of its proper divisors (12994632).

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

4082400 is an equidigital number, since it uses as much as digits as its factorization.

4082400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4082400 is about 2020.4949888579. The cubic root of 4082400 is about 159.8227203137.

The spelling of 4082400 in words is "four million, eighty-two thousand, four hundred".