460666266240 has 768 divisors, whose sum is σ = 1611684864000. Its totient is φ = 111832621056.

The previous prime is 460666266239. The next prime is 460666266251. The reversal of 460666266240 is 42662666064.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 460666266240.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2573554471 + ... + 2573554649.

It is an arithmetic number, because the mean of its divisors is an integer number (2098548000).

Almost surely, 2^460666266240 is an apocalyptic number.

460666266240 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 460666266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805842432000).

460666266240 is an abundant number, since it is smaller than the sum of its proper divisors (1151018597760).

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

460666266240 is a wasteful number, since it uses less digits than its factorization.

460666266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 460666266240 in words is "four hundred sixty billion, six hundred sixty-six million, two hundred sixty-six thousand, two hundred forty".