460840440752640 has 1200 divisors, whose sum is σ = 1836753343402824. Its totient is φ = 109777750917120.

The previous prime is 460840440752639. The next prime is 460840440752669. The reversal of 460840440752640 is 46257044048064.

460840440752640 is a `hidden beast` number, since 4 + 60 + 84 + 0 + 440 + 7 + 5 + 2 + 64 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 212950278809856 + 247890161942784 = 14592816^2 + 15744528^2 .

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

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 119 ways as a sum of consecutive naturals, for example, 2590459534 + ... + 2590637426.

Almost surely, 2^{460840440752640} is an apocalyptic number.

460840440752640 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 460840440752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918376671701412).

460840440752640 is an abundant number, since it is smaller than the sum of its proper divisors (1375912902650184).

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

460840440752640 is a wasteful number, since it uses less digits than its factorization.

460840440752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178003 (or 177947 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 54.

The spelling of 460840440752640 in words is "four hundred sixty trillion, eight hundred forty billion, four hundred forty million, seven hundred fifty-two thousand, six hundred forty".