460145285280 has 144 divisors (see below), whose sum is σ = 1573370023680. Its totient is φ = 122461269504.

The previous prime is 460145285279. The next prime is 460145285297. The reversal of 460145285280 is 82582541064.

460145285280 is a `hidden beast` number, since 4 + 60 + 1 + 45 + 28 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 406681 + ... + 1041959.

It is an arithmetic number, because the mean of its divisors is an integer number (10926180720).

Almost surely, 2^460145285280 is an apocalyptic number.

460145285280 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 460145285280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786685011840).

460145285280 is an abundant number, since it is smaller than the sum of its proper divisors (1113224738400).

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

460145285280 is a wasteful number, since it uses less digits than its factorization.

460145285280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635803 (or 635792 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 460145285280 in words is "four hundred sixty billion, one hundred forty-five million, two hundred eighty-five thousand, two hundred eighty".