465784641 has 96 divisors (see below), whose sum is σ = 851880960. Its totient is φ = 250387200.

The previous prime is 465784619. The next prime is 465784651. The reversal of 465784641 is 146487564.

It is not a de Polignac number, because 465784641 - 2¹³ = 465776449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (465784651) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1681395 + ... + 1681671.

It is an arithmetic number, because the mean of its divisors is an integer number (8873760).

Almost surely, 2^465784641 is an apocalyptic number.

465784641 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

465784641 is a deficient number, since it is larger than the sum of its proper divisors (386096319).

465784641 is a wasteful number, since it uses less digits than its factorization.

465784641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 359 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 465784641 is about 21582.0444119643. The cubic root of 465784641 is about 775.1666050419.

It can be divided in two parts, 4657 and 84641, that added together give a palindrome (89298).

The spelling of 465784641 in words is "four hundred sixty-five million, seven hundred eighty-four thousand, six hundred forty-one".