464286682464 has 96 divisors (see below), whose sum is σ = 1330704837504. Its totient is φ = 140570542080.

The previous prime is 464286682403. The next prime is 464286682481.

464286682464 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×464286682464² (a number of 24 digits) contains 22 as substring.

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 = 464286682398 and 464286682407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1026907 + ... + 1408229.

It is an arithmetic number, because the mean of its divisors is an integer number (13861508724).

Almost surely, 2^464286682464 is an apocalyptic number.

464286682464 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 464286682464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665352418752).

464286682464 is an abundant number, since it is smaller than the sum of its proper divisors (866418155040).

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

464286682464 is a wasteful number, since it uses less digits than its factorization.

464286682464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382500 (or 382492 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 60.

The spelling of 464286682464 in words is "four hundred sixty-four billion, two hundred eighty-six million, six hundred eighty-two thousand, four hundred sixty-four".