11474400 has 144 divisors (see below), whose sum is σ = 42747264. Its totient is φ = 2618880.

The previous prime is 11474399. The next prime is 11474413. The reversal of 11474400 is 447411.

11474400 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

11474400 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16459 + ... + 17141.

It is an arithmetic number, because the mean of its divisors is an integer number (296856).

Almost surely, 2^11474400 is an apocalyptic number.

11474400 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 11474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21373632).

11474400 is an abundant number, since it is smaller than the sum of its proper divisors (31272864).

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

11474400 is a wasteful number, since it uses less digits than its factorization.

11474400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 11474400 is about 3387.3883745446. The cubic root of 11474400 is about 225.5502581345.

The spelling of 11474400 in words is "eleven million, four hundred seventy-four thousand, four hundred".