1418704560 has 480 divisors, whose sum is σ = 5979617280. Its totient is φ = 293455872.

The previous prime is 1418704523. The next prime is 1418704571. The reversal of 1418704560 is 654078141.

It is a happy number.

1418704560 is a `hidden beast` number, since 14 + 1 + 87 + 0 + 4 + 560 = 666.

1418704560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 3865497 + ... + 3865863.

It is an arithmetic number, because the mean of its divisors is an integer number (12457536).

Almost surely, 2^1418704560 is an apocalyptic number.

1418704560 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 1418704560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989808640).

1418704560 is an abundant number, since it is smaller than the sum of its proper divisors (4560912720).

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

1418704560 is a wasteful number, since it uses less digits than its factorization.

1418704560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1418704560 is about 37665.6947367230. The cubic root of 1418704560 is about 1123.6489618607.

The spelling of 1418704560 in words is "one billion, four hundred eighteen million, seven hundred four thousand, five hundred sixty".