1146288240 has 640 divisors, whose sum is σ = 4628275200. Its totient is φ = 258785280.

The previous prime is 1146288239. The next prime is 1146288287. The reversal of 1146288240 is 428826411.

1146288240 is a `hidden beast` number, since 1 + 1 + 4 + 628 + 8 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1146288195 and 1146288204.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 21628054 + ... + 21628106.

It is an arithmetic number, because the mean of its divisors is an integer number (7231680).

Almost surely, 2^1146288240 is an apocalyptic number.

1146288240 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 1146288240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314137600).

1146288240 is an abundant number, since it is smaller than the sum of its proper divisors (3481986960).

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

1146288240 is a wasteful number, since it uses less digits than its factorization.

1146288240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1146288240 is about 33856.8787693136. The cubic root of 1146288240 is about 1046.5611579493.

The spelling of 1146288240 in words is "one billion, one hundred forty-six million, two hundred eighty-eight thousand, two hundred forty".