1146300960 has 384 divisors, whose sum is σ = 4334529024. Its totient is φ = 249200640.

The previous prime is 1146300943. The next prime is 1146300971. The reversal of 1146300960 is 690036411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7301202 + ... + 7301358.

It is an arithmetic number, because the mean of its divisors is an integer number (11287836).

Almost surely, 2^1146300960 is an apocalyptic number.

1146300960 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 1146300960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167264512).

1146300960 is an abundant number, since it is smaller than the sum of its proper divisors (3188228064).

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

1146300960 is a wasteful number, since it uses less digits than its factorization.

1146300960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 1146300960 is about 33857.0666183590. The cubic root of 1146300960 is about 1046.5650290550.

The spelling of 1146300960 in words is "one billion, one hundred forty-six million, three hundred thousand, nine hundred sixty".