483558400 has 132 divisors (see below), whose sum is σ = 1291730692. Its totient is φ = 178421760.

The previous prime is 483558389. The next prime is 483558409. The reversal of 483558400 is 4855384.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 262144 + 483296256 = 512^2 + 21984^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 483558400.

It is not an unprimeable number, because it can be changed into a prime (483558409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 332074 + ... + 333526.

Almost surely, 2^483558400 is an apocalyptic number.

483558400 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 483558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645865346).

483558400 is an abundant number, since it is smaller than the sum of its proper divisors (808172292).

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

483558400 is a wasteful number, since it uses less digits than its factorization.

483558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The square root of 483558400 is about 21989.9613460324. The cubic root of 483558400 is about 784.9035812717.

The spelling of 483558400 in words is "four hundred eighty-three million, five hundred fifty-eight thousand, four hundred".