484632000 has 336 divisors, whose sum is σ = 1780227072. Its totient is φ = 125798400.

The previous prime is 484631981. The next prime is 484632023. The reversal of 484632000 is 236484.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3815937 + ... + 3816063.

Almost surely, 2^484632000 is an apocalyptic number.

484632000 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 484632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890113536).

484632000 is an abundant number, since it is smaller than the sum of its proper divisors (1295595072).

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

484632000 is a wasteful number, since it uses less digits than its factorization.

484632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 190 counting only the distinct ones).

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

The square root of 484632000 is about 22014.3589504669. The cubic root of 484632000 is about 785.4840348543.

Adding to 484632000 its reverse (236484), we get a palindrome (484868484).

The spelling of 484632000 in words is "four hundred eighty-four million, six hundred thirty-two thousand".