4133400 has 72 divisors (see below), whose sum is σ = 12969780. Its totient is φ = 1088960.

The previous prime is 4133383. The next prime is 4133401. The reversal of 4133400 is 43314.

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 4133400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4133401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 49759 + ... + 49841.

Almost surely, 2^4133400 is an apocalyptic number.

4133400 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 4133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6484890).

4133400 is an abundant number, since it is smaller than the sum of its proper divisors (8836380).

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

4133400 is a wasteful number, since it uses less digits than its factorization.

4133400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 4133400 is about 2033.0764865100. The cubic root of 4133400 is about 160.4855044604.

Adding to 4133400 its reverse (43314), we get a palindrome (4176714).

The spelling of 4133400 in words is "four million, one hundred thirty-three thousand, four hundred".