481237632 has 128 divisors (see below), whose sum is σ = 1504051200. Its totient is φ = 150958080.

The previous prime is 481237619. The next prime is 481237633. The reversal of 481237632 is 236732184.

It is a happy number.

481237632 is a `hidden beast` number, since 4 + 8 + 12 + 3 + 7 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (481237633) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 54657 + ... + 62847.

It is an arithmetic number, because the mean of its divisors is an integer number (11750400).

Almost surely, 2^481237632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481237632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752025600).

481237632 is an abundant number, since it is smaller than the sum of its proper divisors (1022813568).

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

481237632 is a wasteful number, since it uses less digits than its factorization.

481237632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8231 (or 8213 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 481237632 is about 21937.1290737872. The cubic root of 481237632 is about 783.6458903400.

It can be divided in two parts, 48123 and 7632, that added together give a palindrome (55755).

The spelling of 481237632 in words is "four hundred eighty-one million, two hundred thirty-seven thousand, six hundred thirty-two".