460289744640 has 864 divisors, whose sum is σ = 1864206489600. Its totient is φ = 107714396160.

The previous prime is 460289744597. The next prime is 460289744647. The reversal of 460289744640 is 46447982064.

460289744640 is a `hidden beast` number, since 460 + 2 + 89 + 7 + 44 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460289744647) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 99219441 + ... + 99224079.

It is an arithmetic number, because the mean of its divisors is an integer number (2157646400).

Almost surely, 2^460289744640 is an apocalyptic number.

460289744640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460289744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932103244800).

460289744640 is an abundant number, since it is smaller than the sum of its proper divisors (1403916744960).

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

460289744640 is a wasteful number, since it uses less digits than its factorization.

460289744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4715 (or 4689 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 460289744640 in words is "four hundred sixty billion, two hundred eighty-nine million, seven hundred forty-four thousand, six hundred forty".