1416648960 has 288 divisors, whose sum is σ = 5077296000. Its totient is φ = 374022144.

The previous prime is 1416648917. The next prime is 1416648967. The reversal of 1416648960 is 698466141.

1416648960 is a `hidden beast` number, since 1 + 4 + 166 + 489 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1416648967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6186126 + ... + 6186354.

It is an arithmetic number, because the mean of its divisors is an integer number (17629500).

Almost surely, 2^1416648960 is an apocalyptic number.

1416648960 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 1416648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538648000).

1416648960 is an abundant number, since it is smaller than the sum of its proper divisors (3660647040).

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

1416648960 is a wasteful number, since it uses less digits than its factorization.

1416648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1416648960 is about 37638.3974154055. The cubic root of 1416648960 is about 1123.1060042606.

The spelling of 1416648960 in words is "one billion, four hundred sixteen million, six hundred forty-eight thousand, nine hundred sixty".