481632000 has 288 divisors, whose sum is σ = 1664470080. Its totient is φ = 123289600.

The previous prime is 481631963. The next prime is 481632023. The reversal of 481632000 is 236184.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 2783914 + ... + 2784086.

It is an arithmetic number, because the mean of its divisors is an integer number (5779410).

Almost surely, 2^481632000 is an apocalyptic number.

481632000 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 481632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832235040).

481632000 is an abundant number, since it is smaller than the sum of its proper divisors (1182838080).

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

481632000 is a wasteful number, since it uses less digits than its factorization.

481632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 481632000 is about 21946.1158294583. The cubic root of 481632000 is about 783.8598944418.

Adding to 481632000 its reverse (236184), we get a palindrome (481868184).

The spelling of 481632000 in words is "four hundred eighty-one million, six hundred thirty-two thousand".