460804256640 has 2560 divisors, whose sum is σ = 2197531607040. Its totient is φ = 89340641280.

The previous prime is 460804256611. The next prime is 460804256657. The reversal of 460804256640 is 46652408064.

460804256640 is a `hidden beast` number, since 4 + 6 + 0 + 8 + 0 + 42 + 566 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 3363534652 + ... + 3363534788.

It is an arithmetic number, because the mean of its divisors is an integer number (858410784).

Almost surely, 2^460804256640 is an apocalyptic number.

460804256640 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 460804256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098765803520).

460804256640 is an abundant number, since it is smaller than the sum of its proper divisors (1736727350400).

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

460804256640 is a wasteful number, since it uses less digits than its factorization.

460804256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 460804256640 in words is "four hundred sixty billion, eight hundred four million, two hundred fifty-six thousand, six hundred forty".