1408968960 has 576 divisors, whose sum is σ = 5594738688. Its totient is φ = 295206912.

The previous prime is 1408968947. The next prime is 1408969021. The reversal of 1408968960 is 698698041.

It is a happy number.

1408968960 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26584294 + ... + 26584346.

It is an arithmetic number, because the mean of its divisors is an integer number (9713088).

Almost surely, 2^1408968960 is an apocalyptic number.

1408968960 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 1408968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797369344).

1408968960 is an abundant number, since it is smaller than the sum of its proper divisors (4185769728).

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

1408968960 is a wasteful number, since it uses less digits than its factorization.

1408968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 1408968960 is about 37536.2352933802. The cubic root of 1408968960 is about 1121.0727816418.

The spelling of 1408968960 in words is "one billion, four hundred eight million, nine hundred sixty-eight thousand, nine hundred sixty".