460344884690160 has 1600 divisors, whose sum is σ = 1695373739136000. Its totient is φ = 115601403101184.

The previous prime is 460344884690123. The next prime is 460344884690161. The reversal of 460344884690160 is 61096488443064.

It is a happy number.

460344884690160 is a `hidden beast` number, since 4 + 6 + 0 + 3 + 4 + 4 + 8 + 8 + 469 + 0 + 160 = 666.

It is a super-3 number, since 3×460344884690160³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460344884690161) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 784233193387 + ... + 784233193973.

It is an arithmetic number, because the mean of its divisors is an integer number (1059608586960).

Almost surely, 2^{460344884690160} is an apocalyptic number.

460344884690160 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 460344884690160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847686869568000).

460344884690160 is an abundant number, since it is smaller than the sum of its proper divisors (1235028854445840).

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

460344884690160 is a wasteful number, since it uses less digits than its factorization.

460344884690160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 460344884690160 in words is "four hundred sixty trillion, three hundred forty-four billion, eight hundred eighty-four million, six hundred ninety thousand, one hundred sixty".