11484900 has 108 divisors (see below), whose sum is σ = 41164032. Its totient is φ = 2623680.

The previous prime is 11484883. The next prime is 11484917. The reversal of 11484900 is 948411.

It is an interprime number because it is at equal distance from previous prime (11484883) and next prime (11484917).

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, 5389 + ... + 7211.

Almost surely, 2^11484900 is an apocalyptic number.

11484900 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 11484900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20582016).

11484900 is an abundant number, since it is smaller than the sum of its proper divisors (29679132).

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

11484900 is a wasteful number, since it uses less digits than its factorization.

11484900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11484900 is about 3388.9378867132. The cubic root of 11484900 is about 225.6190360427.

The spelling of 11484900 in words is "eleven million, four hundred eighty-four thousand, nine hundred".