1409679360 has 216 divisors, whose sum is σ = 4907316960. Its totient is φ = 374341632.

The previous prime is 1409679353. The next prime is 1409679371. The reversal of 1409679360 is 639769041.

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 (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5898121 + ... + 5898359.

It is an arithmetic number, because the mean of its divisors is an integer number (22719060).

Almost surely, 2^1409679360 is an apocalyptic number.

1409679360 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 1409679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453658480).

1409679360 is an abundant number, since it is smaller than the sum of its proper divisors (3497637600).

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

1409679360 is an frugal number, since it uses more digits than its factorization.

1409679360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 1409679360 is about 37545.6969571747. The cubic root of 1409679360 is about 1121.2611643799.

The spelling of 1409679360 in words is "one billion, four hundred nine million, six hundred seventy-nine thousand, three hundred sixty".