1146355840 has 128 divisors (see below), whose sum is σ = 3185827200. Its totient is φ = 386285568.

The previous prime is 1146355831. The next prime is 1146355843. The reversal of 1146355840 is 485536411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1146355840.

It is not an unprimeable number, because it can be changed into a prime (1146355843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262152 + ... + 266488.

It is an arithmetic number, because the mean of its divisors is an integer number (24889275).

Almost surely, 2^1146355840 is an apocalyptic number.

1146355840 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 1146355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592913600).

1146355840 is an abundant number, since it is smaller than the sum of its proper divisors (2039471360).

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

1146355840 is an equidigital number, since it uses as much as digits as its factorization.

1146355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4422 (or 4410 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 1146355840 is about 33857.8770746188. The cubic root of 1146355840 is about 1046.5817304781.

The spelling of 1146355840 in words is "one billion, one hundred forty-six million, three hundred fifty-five thousand, eight hundred forty".