11413800 has 144 divisors (see below), whose sum is σ = 40694940. Its totient is φ = 2856960.

The previous prime is 11413789. The next prime is 11413807. The reversal of 11413800 is 831411.

It can be written as a sum of positive squares in 6 ways, for example, as 6022116 + 5391684 = 2454^2 + 2322^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11413807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30414 + ... + 30786.

Almost surely, 2^11413800 is an apocalyptic number.

11413800 is a gapful number since it is divisible by the number (10) 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 11413800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20347470).

11413800 is an abundant number, since it is smaller than the sum of its proper divisors (29281140).

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

11413800 is a wasteful number, since it uses less digits than its factorization.

11413800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11413800 is about 3378.4315887702. The cubic root of 11413800 is about 225.1524892227.

The spelling of 11413800 in words is "eleven million, four hundred thirteen thousand, eight hundred".