1112486400 has 600 divisors, whose sum is σ = 4374491220. Its totient is φ = 278691840.

The previous prime is 1112486399. The next prime is 1112486407. The reversal of 1112486400 is 46842111.

It is a happy number.

1112486400 is a `hidden beast` number, since 1 + 1 + 12 + 4 + 8 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 664402176 + 448084224 = 25776^2 + 21168^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1112486407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 30067182 + ... + 30067218.

Almost surely, 2^1112486400 is an apocalyptic number.

1112486400 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 1112486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187245610).

1112486400 is an abundant number, since it is smaller than the sum of its proper divisors (3262004820).

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

1112486400 is an equidigital number, since it uses as much as digits as its factorization.

1112486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1112486400 is about 33353.9562870734. The cubic root of 1112486400 is about 1036.1713266941.

The spelling of 1112486400 in words is "one billion, one hundred twelve million, four hundred eighty-six thousand, four hundred".