460220432436 has 72 divisors (see below), whose sum is σ = 1232802534600. Its totient is φ = 144504299520.

The previous prime is 460220432423. The next prime is 460220432447. The reversal of 460220432436 is 634234022064.

460220432436 is a `hidden beast` number, since 4 + 602 + 2 + 0 + 4 + 3 + 2 + 43 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30548048400 + 429672384036 = 174780^2 + 655494^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 460220432436.

It is a congruent number.

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, 5333101 + ... + 5418708.

It is an arithmetic number, because the mean of its divisors is an integer number (17122257425).

Almost surely, 2^460220432436 is an apocalyptic number.

It is an amenable number.

460220432436 is an abundant number, since it is smaller than the sum of its proper divisors (772582102164).

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

460220432436 is a wasteful number, since it uses less digits than its factorization.

460220432436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10751889 (or 10751884 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 460220432436 in words is "four hundred sixty billion, two hundred twenty million, four hundred thirty-two thousand, four hundred thirty-six".