4052400 has 120 divisors (see below), whose sum is σ = 14207424. Its totient is φ = 979200.

The previous prime is 4052383. The next prime is 4052401. The reversal of 4052400 is 42504.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4052400.

It is not an unprimeable number, because it can be changed into a prime (4052401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13047 + ... + 13353.

Almost surely, 2^4052400 is an apocalyptic number.

4052400 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 4052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7103712).

4052400 is an abundant number, since it is smaller than the sum of its proper divisors (10155024).

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

4052400 is a wasteful number, since it uses less digits than its factorization.

4052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 4052400 is about 2013.0573762315. The cubic root of 4052400 is about 159.4302653398.

Adding to 4052400 its reverse (42504), we get a palindrome (4094904).

The spelling of 4052400 in words is "four million, fifty-two thousand, four hundred".