1146400160 has 48 divisors (see below), whose sum is σ = 2801773800. Its totient is φ = 442745856.

The previous prime is 1146400159. The next prime is 1146400163. The reversal of 1146400160 is 610046411.

It can be written as a sum of positive squares in 4 ways, for example, as 831976336 + 314423824 = 28844^2 + 17732^2 .

It is not an unprimeable number, because it can be changed into a prime (1146400163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118895 + ... + 128174.

Almost surely, 2^1146400160 is an apocalyptic number.

1146400160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1146400160 is an abundant number, since it is smaller than the sum of its proper divisors (1655373640).

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

1146400160 is a wasteful number, since it uses less digits than its factorization.

1146400160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247113 (or 247105 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 1146400160 is about 33858.5315688675. The cubic root of 1146400160 is about 1046.5952178273.

Adding to 1146400160 its reverse (610046411), we get a palindrome (1756446571).

The spelling of 1146400160 in words is "one billion, one hundred forty-six million, four hundred thousand, one hundred sixty".