464890785241 has 27 divisors (see below), whose sum is σ = 483354748191. Its totient is φ = 447127094304.

The previous prime is 464890785221. The next prime is 464890785253. The reversal of 464890785241 is 142587098464.

The square root of 464890785241 is 681829.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 89268890841 + 375621894400 = 298779^2 + 612880^2 .

It is a de Polignac number, because none of the positive numbers 2^k-464890785241 is a prime.

It is a super-2 number, since 2×464890785241² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (464890785211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2852090626 + ... + 2852090788.

Almost surely, 2^464890785241 is an apocalyptic number.

464890785241 is the 681829-th square number.

464890785241 is the 340915-th centered octagonal number.

It is an amenable number.

464890785241 is a deficient number, since it is larger than the sum of its proper divisors (18463962950).

464890785241 is an frugal number, since it uses more digits than its factorization.

464890785241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 58.

The spelling of 464890785241 in words is "four hundred sixty-four billion, eight hundred ninety million, seven hundred eighty-five thousand, two hundred forty-one".