1408359960 has 288 divisors, whose sum is σ = 5523532560. Its totient is φ = 321801984.

The previous prime is 1408359929. The next prime is 1408360013. The reversal of 1408359960 is 699538041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 474802 + ... + 477758.

Almost surely, 2^1408359960 is an apocalyptic number.

1408359960 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 1408359960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761766280).

1408359960 is an abundant number, since it is smaller than the sum of its proper divisors (4115172600).

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

1408359960 is a wasteful number, since it uses less digits than its factorization.

1408359960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1408359960 is about 37528.1222551835. The cubic root of 1408359960 is about 1120.9112375782.

The spelling of 1408359960 in words is "one billion, four hundred eight million, three hundred fifty-nine thousand, nine hundred sixty".