11460400 has 60 divisors (see below), whose sum is σ = 31474672. Its totient is φ = 3928320.

The previous prime is 11460373. The next prime is 11460413. The reversal of 11460400 is 406411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 754 + ... + 4846.

Almost surely, 2^11460400 is an apocalyptic number.

11460400 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 11460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15737336).

11460400 is an abundant number, since it is smaller than the sum of its proper divisors (20014272).

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

11460400 is a wasteful number, since it uses less digits than its factorization.

11460400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118 (or 4107 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 11460400 is about 3385.3212550658. The cubic root of 11460400 is about 225.4584889576.

Adding to 11460400 its reverse (406411), we get a palindrome (11866811).

The spelling of 11460400 in words is "eleven million, four hundred sixty thousand, four hundred".