4164400 has 60 divisors (see below), whose sum is σ = 10378800. Its totient is φ = 1603840.

The previous prime is 4164379. The next prime is 4164427. The reversal of 4164400 is 44614.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11421 + ... + 11779.

It is an arithmetic number, because the mean of its divisors is an integer number (172980).

Almost surely, 2^4164400 is an apocalyptic number.

4164400 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 4164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189400).

4164400 is an abundant number, since it is smaller than the sum of its proper divisors (6214400).

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

4164400 is a wasteful number, since it uses less digits than its factorization.

4164400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4164400 is about 2040.6861591141. The cubic root of 4164400 is about 160.8857129068.

The spelling of 4164400 in words is "four million, one hundred sixty-four thousand, four hundred".