460435450455512 has 128 divisors (see below), whose sum is σ = 1011584978933760. Its totient is φ = 192360322990080.

The previous prime is 460435450455439. The next prime is 460435450455521. The reversal of 460435450455512 is 215554054534064.

It is a happy number.

It is a super-3 number, since 3×460435450455512³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3817084433 + ... + 3817205055.

It is an arithmetic number, because the mean of its divisors is an integer number (7903007647920).

Almost surely, 2^{460435450455512} 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 460435450455512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505792489466880).

460435450455512 is an abundant number, since it is smaller than the sum of its proper divisors (551149528478248).

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

460435450455512 is a wasteful number, since it uses less digits than its factorization.

460435450455512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123793 (or 123789 counting only the distinct ones).

The product of its (nonzero) digits is 28800000, while the sum is 53.

The spelling of 460435450455512 in words is "four hundred sixty trillion, four hundred thirty-five billion, four hundred fifty million, four hundred fifty-five thousand, five hundred twelve".