480437183232 has 216 divisors, whose sum is σ = 1484517906144. Its totient is φ = 149042184192.

The previous prime is 480437183227. The next prime is 480437183249. The reversal of 480437183232 is 232381734084.

480437183232 is a `hidden beast` number, since 4 + 8 + 0 + 437 + 183 + 2 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1838188 + ... + 2083220.

It is an arithmetic number, because the mean of its divisors is an integer number (6872768084).

Almost surely, 2^480437183232 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 480437183232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742258953072).

480437183232 is an abundant number, since it is smaller than the sum of its proper divisors (1004080722912).

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

480437183232 is a wasteful number, since it uses less digits than its factorization.

480437183232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245115 (or 245098 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 480437183232 in words is "four hundred eighty billion, four hundred thirty-seven million, one hundred eighty-three thousand, two hundred thirty-two".