1228953600 has 576 divisors, whose sum is σ = 5199667200. Its totient is φ = 278691840.

The previous prime is 1228953599. The next prime is 1228953601. The reversal of 1228953600 is 63598221.

1228953600 is a `hidden beast` number, since 12 + 289 + 5 + 360 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1228953599) and next prime (1228953601).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1228953601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9676737 + ... + 9676863.

It is an arithmetic number, because the mean of its divisors is an integer number (9027200).

Almost surely, 2^1228953600 is an apocalyptic number.

1228953600 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 1228953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599833600).

1228953600 is an abundant number, since it is smaller than the sum of its proper divisors (3970713600).

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

1228953600 is a wasteful number, since it uses less digits than its factorization.

1228953600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1228953600 is about 35056.4345020996. The cubic root of 1228953600 is about 1071.1373471354.

The spelling of 1228953600 in words is "one billion, two hundred twenty-eight million, nine hundred fifty-three thousand, six hundred".