11460900 has 144 divisors (see below), whose sum is σ = 37997568. Its totient is φ = 2640000.

The previous prime is 11460899. The next prime is 11460937. The reversal of 11460900 is 906411.

11460900 = T₂₀₀ + T₂₀₁ + ... + T₄₂₄.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75825 + ... + 75975.

It is an arithmetic number, because the mean of its divisors is an integer number (263872).

Almost surely, 2^11460900 is an apocalyptic number.

11460900 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 11460900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18998784).

11460900 is an abundant number, since it is smaller than the sum of its proper divisors (26536668).

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

11460900 is a wasteful number, since it uses less digits than its factorization.

11460900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 11460900 is about 3385.3951024954. The cubic root of 11460900 is about 225.4617677147.

The spelling of 11460900 in words is "eleven million, four hundred sixty thousand, nine hundred".