483788400 has 120 divisors (see below), whose sum is σ = 1555436160. Its totient is φ = 128536320.

The previous prime is 483788309. The next prime is 483788419. The reversal of 483788400 is 4887384.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 430239 + ... + 431361.

It is an arithmetic number, because the mean of its divisors is an integer number (12961968).

Almost surely, 2^483788400 is an apocalyptic number.

483788400 is a gapful number since it is divisible by the number (40) 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 483788400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777718080).

483788400 is an abundant number, since it is smaller than the sum of its proper divisors (1071647760).

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

483788400 is a wasteful number, since it uses less digits than its factorization.

483788400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 483788400 is about 21995.1903833543. The cubic root of 483788400 is about 785.0280055461.

The spelling of 483788400 in words is "four hundred eighty-three million, seven hundred eighty-eight thousand, four hundred".