1228046400 has 672 divisors, whose sum is σ = 5321564160. Its totient is φ = 269568000.

The previous prime is 1228046381. The next prime is 1228046419. The reversal of 1228046400 is 46408221.

1228046400 is a `hidden beast` number, since 12 + 2 + 8 + 0 + 4 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1228046381) and next prime (1228046419).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9374335 + ... + 9374465.

Almost surely, 2^1228046400 is an apocalyptic number.

1228046400 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 1228046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660782080).

1228046400 is an abundant number, since it is smaller than the sum of its proper divisors (4093517760).

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

1228046400 is a wasteful number, since it uses less digits than its factorization.

1228046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 179 counting only the distinct ones).

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

The square root of 1228046400 is about 35043.4929765855. The cubic root of 1228046400 is about 1070.8737149940.

The spelling of 1228046400 in words is "one billion, two hundred twenty-eight million, forty-six thousand, four hundred".