1111464400 has 60 divisors (see below), whose sum is σ = 2686832992. Its totient is φ = 441832320.

The previous prime is 1111464383. The next prime is 1111464401. The reversal of 1111464400 is 44641111.

It is a super-2 number, since 2×1111464400² = 2470706224934720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111464401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56677 + ... + 73723.

Almost surely, 2^1111464400 is an apocalyptic number.

1111464400 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 1111464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343416496).

1111464400 is an abundant number, since it is smaller than the sum of its proper divisors (1575368592).

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

1111464400 is a wasteful number, since it uses less digits than its factorization.

1111464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17228 (or 17217 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1111464400 is about 33338.6322454896. The cubic root of 1111464400 is about 1035.8539320906.

The spelling of 1111464400 in words is "one billion, one hundred eleven million, four hundred sixty-four thousand, four hundred".