460465205520 has 80 divisors (see below), whose sum is σ = 1511409335040. Its totient is φ = 115567736832.

The previous prime is 460465205491. The next prime is 460465205533. The reversal of 460465205520 is 25502564064.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56425480 + ... + 56433639.

It is an arithmetic number, because the mean of its divisors is an integer number (18892616688).

Almost surely, 2^460465205520 is an apocalyptic number.

460465205520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460465205520 is an abundant number, since it is smaller than the sum of its proper divisors (1050944129520).

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

460465205520 is a wasteful number, since it uses less digits than its factorization.

460465205520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112859152 (or 112859146 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

Adding to 460465205520 its reverse (25502564064), we get a palindrome (485967769584).

The spelling of 460465205520 in words is "four hundred sixty billion, four hundred sixty-five million, two hundred five thousand, five hundred twenty".