460120725504 has 648 divisors, whose sum is σ = 1522169861940. Its totient is φ = 138937835520.

The previous prime is 460120725503. The next prime is 460120725509. The reversal of 460120725504 is 405527021064.

It is a happy number.

460120725504 is a `hidden beast` number, since 4 + 6 + 0 + 120 + 7 + 25 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×460120725504² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460120725503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1625868147 + ... + 1625868429.

Almost surely, 2^460120725504 is an apocalyptic number.

460120725504 is a gapful number since it is divisible by the number (44) 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 460120725504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761084930970).

460120725504 is an abundant number, since it is smaller than the sum of its proper divisors (1062049136436).

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

460120725504 is an frugal number, since it uses more digits than its factorization.

460120725504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 460120725504 its reverse (405527021064), we get a palindrome (865647746568).

The spelling of 460120725504 in words is "four hundred sixty billion, one hundred twenty million, seven hundred twenty-five thousand, five hundred four".