464484484464 has 320 divisors, whose sum is σ = 1630503641088. Its totient is φ = 110022220800.

The previous prime is 464484484459. The next prime is 464484484483.

464484484464 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 464484484398 and 464484484407.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3929749 + ... + 4046219.

Almost surely, 2^464484484464 is an apocalyptic number.

464484484464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464484484464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815251820544).

464484484464 is an abundant number, since it is smaller than the sum of its proper divisors (1166019156624).

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

464484484464 is a wasteful number, since it uses less digits than its factorization.

464484484464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116596 (or 116590 counting only the distinct ones).

The product of its digits is 150994944, while the sum is 60.

The spelling of 464484484464 in words is "four hundred sixty-four billion, four hundred eighty-four million, four hundred eighty-four thousand, four hundred sixty-four".