1408048320 has 336 divisors, whose sum is σ = 5347594080. Its totient is φ = 312754176.

The previous prime is 1408048289. The next prime is 1408048331. The reversal of 1408048320 is 238408041.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1740076 + ... + 1740884.

Almost surely, 2^1408048320 is an apocalyptic number.

1408048320 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 1408048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673797040).

1408048320 is an abundant number, since it is smaller than the sum of its proper divisors (3939545760).

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

1408048320 is a wasteful number, since it uses less digits than its factorization.

1408048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 1408048320 is about 37523.9699392268. The cubic root of 1408048320 is about 1120.8285535682.

The spelling of 1408048320 in words is "one billion, four hundred eight million, forty-eight thousand, three hundred twenty".