1409146560 has 168 divisors, whose sum is σ = 4929621840. Its totient is φ = 369358848.

The previous prime is 1409146553. The next prime is 1409146561. The reversal of 1409146560 is 656419041.

1409146560 is a `hidden beast` number, since 1 + 4 + 0 + 91 + 4 + 6 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1409146561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165774 + ... + 174066.

Almost surely, 2^1409146560 is an apocalyptic number.

1409146560 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 1409146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464810920).

1409146560 is an abundant number, since it is smaller than the sum of its proper divisors (3520475280).

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

1409146560 is a wasteful number, since it uses less digits than its factorization.

1409146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8375 (or 8362 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1409146560 is about 37538.6009329064. The cubic root of 1409146560 is about 1121.1198832616.

The spelling of 1409146560 in words is "one billion, four hundred nine million, one hundred forty-six thousand, five hundred sixty".