4132400 has 30 divisors (see below), whose sum is σ = 9929052. Its totient is φ = 1652800.

The previous prime is 4132391. The next prime is 4132409. The reversal of 4132400 is 42314.

4132400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4132391) and next prime (4132409).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (4132409) 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 5 ways as a sum of consecutive naturals, for example, 4766 + ... + 5565.

Almost surely, 2^4132400 is an apocalyptic number.

4132400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4132400 is an abundant number, since it is smaller than the sum of its proper divisors (5796652).

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

4132400 is a wasteful number, since it uses less digits than its factorization.

4132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10349 (or 10338 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4132400 is about 2032.8305389284. The cubic root of 4132400 is about 160.4725612459.

Adding to 4132400 its reverse (42314), we get a palindrome (4174714).

The spelling of 4132400 in words is "four million, one hundred thirty-two thousand, four hundred".