1409280768 has 540 divisors, whose sum is σ = 5216063160. Its totient is φ = 376233984.

The previous prime is 1409280757. The next prime is 1409280791. The reversal of 1409280768 is 8670829041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19305180 + ... + 19305252.

Almost surely, 2^1409280768 is an apocalyptic number.

1409280768 is a gapful number since it is divisible by the number (18) 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 1409280768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608031580).

1409280768 is an abundant number, since it is smaller than the sum of its proper divisors (3806782392).

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

1409280768 is an equidigital number, since it uses as much as digits as its factorization.

1409280768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1409280768 is about 37540.3884902647. The cubic root of 1409280768 is about 1121.1554741848.

The spelling of 1409280768 in words is "one billion, four hundred nine million, two hundred eighty thousand, seven hundred sixty-eight".