460220544000 has 1584 divisors, whose sum is σ = 1999008101376. Its totient is φ = 101412864000.

The previous prime is 460220543911. The next prime is 460220544013. The reversal of 460220544000 is 445022064.

460220544000 is a `hidden beast` number, since 4 + 602 + 2 + 0 + 54 + 4 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1749887869 + ... + 1749888131.

It is an arithmetic number, because the mean of its divisors is an integer number (1262000064).

Almost surely, 2^460220544000 is an apocalyptic number.

460220544000 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 460220544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999504050688).

460220544000 is an abundant number, since it is smaller than the sum of its proper divisors (1538787557376).

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

460220544000 is a wasteful number, since it uses less digits than its factorization.

460220544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 460220544000 its reverse (445022064), we get a palindrome (460665566064).

The spelling of 460220544000 in words is "four hundred sixty billion, two hundred twenty million, five hundred forty-four thousand".