1200146400 has 432 divisors, whose sum is σ = 4614704640. Its totient is φ = 292377600.

The previous prime is 1200146377. The next prime is 1200146407. The reversal of 1200146400 is 46410021.

1200146400 is a `hidden beast` number, since 1 + 20 + 0 + 1 + 4 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200146407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4240659 + ... + 4240941.

Almost surely, 2^1200146400 is an apocalyptic number.

1200146400 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 1200146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307352320).

1200146400 is an abundant number, since it is smaller than the sum of its proper divisors (3414558240).

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

1200146400 is a wasteful number, since it uses less digits than its factorization.

1200146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1200146400 is about 34643.1291889171. The cubic root of 1200146400 is about 1062.7017822071.

Adding to 1200146400 its reverse (46410021), we get a palindrome (1246556421).

The spelling of 1200146400 in words is "one billion, two hundred million, one hundred forty-six thousand, four hundred".