464456289393 has 48 divisors (see below), whose sum is σ = 702987339600. Its totient is φ = 295111434240.

The previous prime is 464456289329. The next prime is 464456289403. The reversal of 464456289393 is 393982654464.

464456289393 is a `hidden beast` number, since 4 + 6 + 4 + 456 + 2 + 8 + 93 + 93 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 53154685809 + 411301603584 = 230553^2 + 641328^2 .

It is not a de Polignac number, because 464456289393 - 2⁶ = 464456289329 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 464456289393.

It is not an unprimeable number, because it can be changed into a prime (464456289293) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9824733 + ... + 9871893.

It is an arithmetic number, because the mean of its divisors is an integer number (14645569575).

Almost surely, 2^464456289393 is an apocalyptic number.

It is an amenable number.

464456289393 is a deficient number, since it is larger than the sum of its proper divisors (238531050207).

464456289393 is a wasteful number, since it uses less digits than its factorization.

464456289393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47682 (or 47679 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 63.

The spelling of 464456289393 in words is "four hundred sixty-four billion, four hundred fifty-six million, two hundred eighty-nine thousand, three hundred ninety-three".