1303900416 has 360 divisors, whose sum is σ = 4792149824. Its totient is φ = 343388160.

The previous prime is 1303900399. The next prime is 1303900417. The reversal of 1303900416 is 6140093031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1303900416.

It is not an unprimeable number, because it can be changed into a prime (1303900417) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1886631 + ... + 1887321.

Almost surely, 2^1303900416 is an apocalyptic number.

1303900416 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 1303900416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396074912).

1303900416 is an abundant number, since it is smaller than the sum of its proper divisors (3488249408).

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

1303900416 is an equidigital number, since it uses as much as digits as its factorization.

1303900416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1303900416 is about 36109.5612822975. The cubic root of 1303900416 is about 1092.4833025496.

Adding to 1303900416 its reverse (6140093031), we get a palindrome (7443993447).

The spelling of 1303900416 in words is "one billion, three hundred three million, nine hundred thousand, four hundred sixteen".