11745300 has 216 divisors, whose sum is σ = 42747264. Its totient is φ = 2472960.

The previous prime is 11745289. The next prime is 11745323. The reversal of 11745300 is 354711.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 249877 + ... + 249923.

It is an arithmetic number, because the mean of its divisors is an integer number (197904).

Almost surely, 2^11745300 is an apocalyptic number.

11745300 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 11745300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21373632).

11745300 is an abundant number, since it is smaller than the sum of its proper divisors (31001964).

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

11745300 is a wasteful number, since it uses less digits than its factorization.

11745300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 11745300 is about 3427.1416661702. The cubic root of 11745300 is about 227.3114809067.

The spelling of 11745300 in words is "eleven million, seven hundred forty-five thousand, three hundred".