1203796224 has 216 divisors, whose sum is σ = 3702011040. Its totient is φ = 375128064.

The previous prime is 1203796219. The next prime is 1203796249. The reversal of 1203796224 is 4226973021.

1203796224 is a `hidden beast` number, since 1 + 20 + 3 + 7 + 9 + 622 + 4 = 666.

It is a super-3 number, since 3×1203796224³ (a number of 28 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4683904 + ... + 4684160.

It is an arithmetic number, because the mean of its divisors is an integer number (17138940).

Almost surely, 2^1203796224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1203796224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851005520).

1203796224 is an abundant number, since it is smaller than the sum of its proper divisors (2498214816).

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

1203796224 is a wasteful number, since it uses less digits than its factorization.

1203796224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1203796224 is about 34695.7666581962. The cubic root of 1203796224 is about 1063.7779701410. Note that the first 3 decimals are identical.

The spelling of 1203796224 in words is "one billion, two hundred three million, seven hundred ninety-six thousand, two hundred twenty-four".