482630400 has 810 divisors, whose sum is σ = 2185107540. Its totient is φ = 104509440.

The previous prime is 482630399. The next prime is 482630411. The reversal of 482630400 is 4036284.

It is a tau number, because it is divible by the number of its divisors (810).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 25401591 + ... + 25401609.

Almost surely, 2^482630400 is an apocalyptic number.

482630400 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 482630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092553770).

482630400 is an abundant number, since it is smaller than the sum of its proper divisors (1702477140).

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

482630400 is a wasteful number, since it uses less digits than its factorization.

482630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 482630400 is about 21968.8506754450. The cubic root of 482630400 is about 784.4011552470.

Adding to 482630400 its reverse (4036284), we get a palindrome (486666684).

The spelling of 482630400 in words is "four hundred eighty-two million, six hundred thirty thousand, four hundred".