1230249600 has 384 divisors, whose sum is σ = 4667112000. Its totient is φ = 316108800.

The previous prime is 1230249583. The next prime is 1230249607. The reversal of 1230249600 is 69420321.

1230249600 is a `hidden beast` number, since 1 + 2 + 30 + 24 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (1230249607) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2505355 + ... + 2505845.

Almost surely, 2^1230249600 is an apocalyptic number.

1230249600 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 1230249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333556000).

1230249600 is an abundant number, since it is smaller than the sum of its proper divisors (3436862400).

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

1230249600 is a wasteful number, since it uses less digits than its factorization.

1230249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1230249600 is about 35074.9141125107. The cubic root of 1230249600 is about 1071.5137395155.

Adding to 1230249600 its reverse (69420321), we get a palindrome (1299669921).

The spelling of 1230249600 in words is "one billion, two hundred thirty million, two hundred forty-nine thousand, six hundred".