1224428400 has 840 divisors, whose sum is σ = 5293879920. Its totient is φ = 268738560.

The previous prime is 1224428371. The next prime is 1224428407. The reversal of 1224428400 is 48244221.

1224428400 is a `hidden beast` number, since 12 + 244 + 2 + 8 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1224428407) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 64443591 + ... + 64443609.

It is an arithmetic number, because the mean of its divisors is an integer number (6302238).

Almost surely, 2^1224428400 is an apocalyptic number.

1224428400 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 1224428400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646939960).

1224428400 is an abundant number, since it is smaller than the sum of its proper divisors (4069451520).

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

1224428400 is a wasteful number, since it uses less digits than its factorization.

1224428400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 1224428400 is about 34991.8333329364. The cubic root of 1224428400 is about 1069.8210315866.

The spelling of 1224428400 in words is "one billion, two hundred twenty-four million, four hundred twenty-eight thousand, four hundred".