1408520960 has 288 divisors, whose sum is σ = 4351463424. Its totient is φ = 423936000.

The previous prime is 1408520917. The next prime is 1408520963. The reversal of 1408520960 is 690258041.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1408520960.

It is not an unprimeable number, because it can be changed into a prime (1408520963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3055130 + ... + 3055590.

It is an arithmetic number, because the mean of its divisors is an integer number (15109248).

Almost surely, 2^1408520960 is an apocalyptic number.

1408520960 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 1408520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175731712).

1408520960 is an abundant number, since it is smaller than the sum of its proper divisors (2942942464).

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

1408520960 is a wasteful number, since it uses less digits than its factorization.

1408520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 1408520960 is about 37530.2672519128. The cubic root of 1408520960 is about 1120.9539491571.

The spelling of 1408520960 in words is "one billion, four hundred eight million, five hundred twenty thousand, nine hundred sixty".