1228944960 has 280 divisors, whose sum is σ = 4630384440. Its totient is φ = 308330496.

The previous prime is 1228944953. The next prime is 1228944967. The reversal of 1228944960 is 694498221.

1228944960 is a `hidden beast` number, since 122 + 89 + 449 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1228944953) and next prime (1228944967).

It can be written as a sum of positive squares in 4 ways, for example, as 318836736 + 910108224 = 17856^2 + 30168^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1228944967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 439246 + ... + 442034.

Almost surely, 2^1228944960 is an apocalyptic number.

1228944960 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 1228944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315192220).

1228944960 is an abundant number, since it is smaller than the sum of its proper divisors (3401439480).

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

1228944960 is a wasteful number, since it uses less digits than its factorization.

1228944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1228944960 is about 35056.3112720092. The cubic root of 1228944960 is about 1071.1348369651.

The spelling of 1228944960 in words is "one billion, two hundred twenty-eight million, nine hundred forty-four thousand, nine hundred sixty".