1483830400 has 192 divisors, whose sum is σ = 4027945320. Its totient is φ = 536739840.

The previous prime is 1483830391. The next prime is 1483830451. The reversal of 1483830400 is 40383841.

It can be written as a sum of positive squares in 12 ways, for example, as 9884736 + 1473945664 = 3144^2 + 38392^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2204464 + ... + 2205136.

Almost surely, 2^1483830400 is an apocalyptic number.

1483830400 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 1483830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013972660).

1483830400 is an abundant number, since it is smaller than the sum of its proper divisors (2544114920).

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

1483830400 is a wasteful number, since it uses less digits than its factorization.

1483830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 1483830400 is about 38520.5192073004. The cubic root of 1483830400 is about 1140.5861354369.

The spelling of 1483830400 in words is "one billion, four hundred eighty-three million, eight hundred thirty thousand, four hundred".