1244932416 has 630 divisors, whose sum is σ = 4808795310. Its totient is φ = 317011968.

The previous prime is 1244932397. The next prime is 1244932417. The reversal of 1244932416 is 6142394421.

1244932416 is a `hidden beast` number, since 124 + 493 + 2 + 41 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 254016 + 1244678400 = 504^2 + 35280^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (41472) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1244932417) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 42928690 + ... + 42928718.

Almost surely, 2^1244932416 is an apocalyptic number.

1244932416 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 1244932416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404397655).

1244932416 is an abundant number, since it is smaller than the sum of its proper divisors (3563862894).

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

1244932416 is a wasteful number, since it uses less digits than its factorization.

1244932416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 54 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 1244932416 is about 35283.5998163453. The cubic root of 1244932416 is about 1075.7596695644.

The spelling of 1244932416 in words is "one billion, two hundred forty-four million, nine hundred thirty-two thousand, four hundred sixteen".