1200460800 has 792 divisors, whose sum is σ = 5208550560. Its totient is φ = 240844800.

The previous prime is 1200460783. The next prime is 1200460801. The reversal of 1200460800 is 80640021.

It is a super-2 number, since 2×1200460800² = 2882212264673280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200460801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41395186 + ... + 41395214.

Almost surely, 2^1200460800 is an apocalyptic number.

1200460800 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 1200460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604275280).

1200460800 is an abundant number, since it is smaller than the sum of its proper divisors (4008089760).

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

1200460800 is a wasteful number, since it uses less digits than its factorization.

1200460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1200460800 is about 34647.6665880980. Note that the first 3 decimals coincide. The cubic root of 1200460800 is about 1062.7945720726.

The spelling of 1200460800 in words is "one billion, two hundred million, four hundred sixty thousand, eight hundred".