1146200400 has 360 divisors, whose sum is σ = 4221634560. Its totient is φ = 287400960.

The previous prime is 1146200353. The next prime is 1146200411. The reversal of 1146200400 is 40026411.

1146200400 is a `hidden beast` number, since 1 + 1 + 4 + 620 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9025137 + ... + 9025263.

Almost surely, 2^1146200400 is an apocalyptic number.

1146200400 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 1146200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110817280).

1146200400 is an abundant number, since it is smaller than the sum of its proper divisors (3075434160).

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

1146200400 is a wasteful number, since it uses less digits than its factorization.

1146200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 269 counting only the distinct ones).

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

The square root of 1146200400 is about 33855.5815191528. The cubic root of 1146200400 is about 1046.5344246266.

Adding to 1146200400 its reverse (40026411), we get a palindrome (1186226811).

The spelling of 1146200400 in words is "one billion, one hundred forty-six million, two hundred thousand, four hundred".