1408656672 has 144 divisors (see below), whose sum is σ = 4167858240. Its totient is φ = 450756096.

The previous prime is 1408656659. The next prime is 1408656727. The reversal of 1408656672 is 2766568041.

1408656672 is a `hidden beast` number, since 1 + 4 + 0 + 86 + 566 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1895533 + ... + 1896275.

It is an arithmetic number, because the mean of its divisors is an integer number (28943460).

Almost surely, 2^1408656672 is an apocalyptic number.

1408656672 is a gapful number since it is divisible by the number (12) 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 1408656672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083929120).

1408656672 is an abundant number, since it is smaller than the sum of its proper divisors (2759201568).

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

1408656672 is a wasteful number, since it uses less digits than its factorization.

1408656672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1408656672 is about 37532.0752423843. The cubic root of 1408656672 is about 1120.9899495720.

The spelling of 1408656672 in words is "one billion, four hundred eight million, six hundred fifty-six thousand, six hundred seventy-two".