1222628400 has 540 divisors, whose sum is σ = 5127127200. Its totient is φ = 268692480.

The previous prime is 1222628387. The next prime is 1222628401. The reversal of 1222628400 is 48262221.

It is a happy number.

1222628400 is a `hidden beast` number, since 12 + 22 + 628 + 4 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1222628401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5115481 + ... + 5115719.

It is an arithmetic number, because the mean of its divisors is an integer number (9494680).

Almost surely, 2^1222628400 is an apocalyptic number.

1222628400 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 1222628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563563600).

1222628400 is an abundant number, since it is smaller than the sum of its proper divisors (3904498800).

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

1222628400 is a wasteful number, since it uses less digits than its factorization.

1222628400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1222628400 is about 34966.1035861876. The cubic root of 1222628400 is about 1069.2965358960.

The spelling of 1222628400 in words is "one billion, two hundred twenty-two million, six hundred twenty-eight thousand, four hundred".