464478874464 has 288 divisors, whose sum is σ = 1366793205120. Its totient is φ = 137969694720.

The previous prime is 464478874463. The next prime is 464478874499.

464478874464 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 = 464478874395 and 464478874404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464478874463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313201467 + ... + 313202949.

It is an arithmetic number, because the mean of its divisors is an integer number (4745809740).

Almost surely, 2^464478874464 is an apocalyptic number.

464478874464 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 464478874464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683396602560).

464478874464 is an abundant number, since it is smaller than the sum of its proper divisors (902314330656).

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

464478874464 is a wasteful number, since it uses less digits than its factorization.

464478874464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2015 counting only the distinct ones).

The product of its digits is 462422016, while the sum is 66.

The spelling of 464478874464 in words is "four hundred sixty-four billion, four hundred seventy-eight million, eight hundred seventy-four thousand, four hundred sixty-four".