464686464 has 192 divisors, whose sum is σ = 1385359920. Its totient is φ = 137871360.

The previous prime is 464686463. The next prime is 464686513.

464686464 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464686463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3391804 + ... + 3391940.

Almost surely, 2^464686464 is an apocalyptic number.

464686464 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 464686464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692679960).

464686464 is an abundant number, since it is smaller than the sum of its proper divisors (920673456).

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

464686464 is a wasteful number, since it uses less digits than its factorization.

464686464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 226 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 48.

The square root of 464686464 is about 21556.5874850358. The cubic root of 464686464 is about 774.5569241217.

The spelling of 464686464 in words is "four hundred sixty-four million, six hundred eighty-six thousand, four hundred sixty-four".