1405168560 has 400 divisors, whose sum is σ = 5233995360. Its totient is φ = 348364800.

The previous prime is 1405168553. The next prime is 1405168613. The reversal of 1405168560 is 658615041.

1405168560 is a `hidden beast` number, since 1 + 4 + 0 + 516 + 85 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12435064 + ... + 12435176.

Almost surely, 2^1405168560 is an apocalyptic number.

1405168560 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 1405168560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616997680).

1405168560 is an abundant number, since it is smaller than the sum of its proper divisors (3828826800).

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

1405168560 is a wasteful number, since it uses less digits than its factorization.

1405168560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1405168560 is about 37485.5780267558. The cubic root of 1405168560 is about 1120.0639206716.

The spelling of 1405168560 in words is "one billion, four hundred five million, one hundred sixty-eight thousand, five hundred sixty".