4132800 has 252 divisors, whose sum is σ = 17196816. Its totient is φ = 921600.

The previous prime is 4132783. The next prime is 4132829. The reversal of 4132800 is 82314.

It is a happy number.

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 zygodrome in base 2 and base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100780 + ... + 100820.

Almost surely, 2^4132800 is an apocalyptic number.

4132800 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 4132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8598408).

4132800 is an abundant number, since it is smaller than the sum of its proper divisors (13064016).

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

4132800 is a wasteful number, since it uses less digits than its factorization.

4132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4132800 is about 2032.9289215317. The cubic root of 4132800 is about 160.4777387823.

The spelling of 4132800 in words is "four million, one hundred thirty-two thousand, eight hundred".