460880586240 has 1280 divisors, whose sum is σ = 1730974924800. Its totient is φ = 103860928512.

The previous prime is 460880586227. The next prime is 460880586251. The reversal of 460880586240 is 42685088064.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6878814687 + ... + 6878814753.

It is an arithmetic number, because the mean of its divisors is an integer number (1352324160).

Almost surely, 2^460880586240 is an apocalyptic number.

460880586240 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 460880586240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865487462400).

460880586240 is an abundant number, since it is smaller than the sum of its proper divisors (1270094338560).

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

460880586240 is a wasteful number, since it uses less digits than its factorization.

460880586240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 51.

The spelling of 460880586240 in words is "four hundred sixty billion, eight hundred eighty million, five hundred eighty-six thousand, two hundred forty".