1196294400 has 864 divisors, whose sum is σ = 5352990720. Its totient is φ = 255467520.

The previous prime is 1196294381. The next prime is 1196294413. The reversal of 1196294400 is 44926911.

It is a happy number.

1196294400 is a `hidden beast` number, since 1 + 196 + 29 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×1196294400² = 2862240582942720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27820779 + ... + 27820821.

Almost surely, 2^1196294400 is an apocalyptic number.

1196294400 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 1196294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676495360).

1196294400 is an abundant number, since it is smaller than the sum of its proper divisors (4156696320).

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

1196294400 is a wasteful number, since it uses less digits than its factorization.

1196294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1196294400 is about 34587.4890675805. The cubic root of 1196294400 is about 1061.5636114443.

The spelling of 1196294400 in words is "one billion, one hundred ninety-six million, two hundred ninety-four thousand, four hundred".