464684486464 has 56 divisors (see below), whose sum is σ = 1038385910016. Its totient is φ = 204406656000.

The previous prime is 464684486447. The next prime is 464684486467.

It is a happy number.

464684486464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×464684486464² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 464684486396 and 464684486405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464684486467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10624357 + ... + 10668004.

It is an arithmetic number, because the mean of its divisors is an integer number (18542605536).

Almost surely, 2^464684486464 is an apocalyptic number.

464684486464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

464684486464 is an abundant number, since it is smaller than the sum of its proper divisors (573701423552).

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

464684486464 is a wasteful number, since it uses less digits than its factorization.

464684486464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21292415 (or 21292405 counting only the distinct ones).

The product of its digits is 339738624, while the sum is 64.

The spelling of 464684486464 in words is "four hundred sixty-four billion, six hundred eighty-four million, four hundred eighty-six thousand, four hundred sixty-four".