1365809472 has 224 divisors, whose sum is σ = 4178442240. Its totient is φ = 437184000.

The previous prime is 1365809449. The next prime is 1365809479. The reversal of 1365809472 is 2749085631.

1365809472 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1365809472 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1365809479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5441347 + ... + 5441597.

It is an arithmetic number, because the mean of its divisors is an integer number (18653760).

It is a 1-persistent number, because it is pandigital, but 2⋅1365809472 = 2731618944 is not.

Almost surely, 2^1365809472 is an apocalyptic number.

1365809472 is a gapful number since it is divisible by the number (12) 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 1365809472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089221120).

1365809472 is an abundant number, since it is smaller than the sum of its proper divisors (2812632768).

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

1365809472 is a wasteful number, since it uses less digits than its factorization.

1365809472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1365809472 is about 36956.8596068443. The cubic root of 1365809472 is about 1109.5069833921.

The spelling of 1365809472 in words is "one billion, three hundred sixty-five million, eight hundred nine thousand, four hundred seventy-two".