1408704000 has 640 divisors, whose sum is σ = 5515361280. Its totient is φ = 315392000.

The previous prime is 1408703987. The next prime is 1408704019. The reversal of 1408704000 is 4078041.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 48575986 + ... + 48576014.

It is an arithmetic number, because the mean of its divisors is an integer number (8617752).

Almost surely, 2^1408704000 is an apocalyptic number.

1408704000 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 1408704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757680640).

1408704000 is an abundant number, since it is smaller than the sum of its proper divisors (4106657280).

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

1408704000 is a wasteful number, since it uses less digits than its factorization.

1408704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 1408704000 is about 37532.7057377962. The cubic root of 1408704000 is about 1121.0025037591.

The spelling of 1408704000 in words is "one billion, four hundred eight million, seven hundred four thousand".