464559955464 has 64 divisors (see below), whose sum is σ = 1301224472640. Its totient is φ = 136970991360.

The previous prime is 464559955463. The next prime is 464559955471.

464559955464 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 464559955395 and 464559955404.

It is not an unprimeable number, because it can be changed into a prime (464559955463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23769919 + ... + 23789454.

It is an arithmetic number, because the mean of its divisors is an integer number (20331632385).

Almost surely, 2^464559955464 is an apocalyptic number.

464559955464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

464559955464 is an abundant number, since it is smaller than the sum of its proper divisors (836664517176).

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

464559955464 is a wasteful number, since it uses less digits than its factorization.

464559955464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47559430 (or 47559426 counting only the distinct ones).

The product of its digits is 466560000, while the sum is 66.

The spelling of 464559955464 in words is "four hundred sixty-four billion, five hundred fifty-nine million, nine hundred fifty-five thousand, four hundred sixty-four".