1146493440 has 480 divisors, whose sum is σ = 4379094720. Its totient is φ = 286654464.

The previous prime is 1146493423. The next prime is 1146493451. The reversal of 1146493440 is 443946411.

It is a happy number.

1146493440 is a `hidden beast` number, since 1 + 1 + 4 + 649 + 3 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 1146493395 and 1146493404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11819472 + ... + 11819568.

It is an arithmetic number, because the mean of its divisors is an integer number (9123114).

Almost surely, 2^1146493440 is an apocalyptic number.

1146493440 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 1146493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189547360).

1146493440 is an abundant number, since it is smaller than the sum of its proper divisors (3232601280).

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

1146493440 is an frugal number, since it uses more digits than its factorization.

1146493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1146493440 is about 33859.9090370899. The cubic root of 1146493440 is about 1046.6236034230.

The spelling of 1146493440 in words is "one billion, one hundred forty-six million, four hundred ninety-three thousand, four hundred forty".