1230566400 has 594 divisors, whose sum is σ = 5172380070. Its totient is φ = 278691840.

The previous prime is 1230566399. The next prime is 1230566411. The reversal of 1230566400 is 46650321.

1230566400 is a `hidden beast` number, since 12 + 3 + 0 + 5 + 6 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 146313216 + 1084253184 = 12096^2 + 32928^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 11289546 + ... + 11289654.

Almost surely, 2^1230566400 is an apocalyptic number.

1230566400 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 1230566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586190035).

1230566400 is an abundant number, since it is smaller than the sum of its proper divisors (3941813670).

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

1230566400 is a wasteful number, since it uses less digits than its factorization.

1230566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1230566400 is about 35079.4298699394. The cubic root of 1230566400 is about 1071.6057063324.

The spelling of 1230566400 in words is "one billion, two hundred thirty million, five hundred sixty-six thousand, four hundred".