460401446211140 has 144 divisors (see below), whose sum is σ = 1207166553279792. Its totient is φ = 146531358941184.

The previous prime is 460401446211061. The next prime is 460401446211163. The reversal of 460401446211140 is 41112644104064.

It can be written as a sum of positive squares in 8 ways, for example, as 145093951744 + 460256352259396 = 380912^2 + 21453586^2 .

It is a super-2 number, since 2×460401446211140² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 460401446211094 and 460401446211103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188065607 + ... + 190497966.

It is an arithmetic number, because the mean of its divisors is an integer number (8383101064443).

Almost surely, 2^{460401446211140} is an apocalyptic number.

It is an amenable number.

460401446211140 is an abundant number, since it is smaller than the sum of its proper divisors (746765107068652).

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

460401446211140 is a wasteful number, since it uses less digits than its factorization.

460401446211140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378563686 (or 378563677 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The spelling of 460401446211140 in words is "four hundred sixty trillion, four hundred one billion, four hundred forty-six million, two hundred eleven thousand, one hundred forty".