1224676800 has 168 divisors, whose sum is σ = 4464558000. Its totient is φ = 326568960.

The previous prime is 1224676763. The next prime is 1224676807. The reversal of 1224676800 is 86764221.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (1224676807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29026 + ... + 57374.

It is an arithmetic number, because the mean of its divisors is an integer number (26574750).

Almost surely, 2^1224676800 is an apocalyptic number.

1224676800 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 1224676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232279000).

1224676800 is an abundant number, since it is smaller than the sum of its proper divisors (3239881200).

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

1224676800 is a wasteful number, since it uses less digits than its factorization.

1224676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28380 (or 28359 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1224676800 is about 34995.3825525597. The cubic root of 1224676800 is about 1069.8933716205.

The spelling of 1224676800 in words is "one billion, two hundred twenty-four million, six hundred seventy-six thousand, eight hundred".