433460631660 has 384 divisors, whose sum is σ = 1480008499200. Its totient is φ = 94571059968.

The previous prime is 433460631647. The next prime is 433460631841. The reversal of 433460631660 is 66136064334.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 448252497 + ... + 448253463.

It is an arithmetic number, because the mean of its divisors is an integer number (3854188800).

Almost surely, 2^433460631660 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 433460631660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740004249600).

433460631660 is an abundant number, since it is smaller than the sum of its proper divisors (1046547867540).

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

433460631660 is a wasteful number, since it uses less digits than its factorization.

433460631660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 42.

Adding to 433460631660 its reverse (66136064334), we get a palindrome (499596695994).

The spelling of 433460631660 in words is "four hundred thirty-three billion, four hundred sixty million, six hundred thirty-one thousand, six hundred sixty".