1146229200 has 180 divisors, whose sum is σ = 4000958208. Its totient is φ = 303878400.

The previous prime is 1146229193. The next prime is 1146229241. The reversal of 1146229200 is 29226411.

1146229200 is a `hidden beast` number, since 1 + 14 + 622 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 686767 + ... + 688433.

Almost surely, 2^1146229200 is an apocalyptic number.

1146229200 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 1146229200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000479104).

1146229200 is an abundant number, since it is smaller than the sum of its proper divisors (2854729008).

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

1146229200 is a wasteful number, since it uses less digits than its factorization.

1146229200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1146229200 is about 33856.0068525513. The cubic root of 1146229200 is about 1046.5431898009.

The spelling of 1146229200 in words is "one billion, one hundred forty-six million, two hundred twenty-nine thousand, two hundred".