1365472416 has 216 divisors, whose sum is σ = 4584988800. Its totient is φ = 354520320.

The previous prime is 1365472403. The next prime is 1365472417. The reversal of 1365472416 is 6142745631.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1365472417) 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 35 ways as a sum of consecutive naturals, for example, 567985 + ... + 570383.

It is an arithmetic number, because the mean of its divisors is an integer number (21226800).

Almost surely, 2^1365472416 is an apocalyptic number.

1365472416 is a gapful number since it is divisible by the number (16) 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 1365472416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292494400).

1365472416 is an abundant number, since it is smaller than the sum of its proper divisors (3219516384).

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

1365472416 is a wasteful number, since it uses less digits than its factorization.

1365472416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2422 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 1365472416 is about 36952.2991977495. The cubic root of 1365472416 is about 1109.4157074222.

The spelling of 1365472416 in words is "one billion, three hundred sixty-five million, four hundred seventy-two thousand, four hundred sixteen".