1146350240 has 192 divisors, whose sum is σ = 3231664128. Its totient is φ = 376012800.

The previous prime is 1146350213. The next prime is 1146350263. The reversal of 1146350240 is 420536411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4756520 + ... + 4756760.

It is an arithmetic number, because the mean of its divisors is an integer number (16831584).

Almost surely, 2^1146350240 is an apocalyptic number.

1146350240 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 1146350240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615832064).

1146350240 is an abundant number, since it is smaller than the sum of its proper divisors (2085313888).

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

1146350240 is a wasteful number, since it uses less digits than its factorization.

1146350240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 1146350240 is about 33857.7943758893. The cubic root of 1146350240 is about 1046.5800262757.

Adding to 1146350240 its reverse (420536411), we get a palindrome (1566886651).

The spelling of 1146350240 in words is "one billion, one hundred forty-six million, three hundred fifty thousand, two hundred forty".