464829928464 has 40 divisors (see below), whose sum is σ = 1309975254432. Its totient is φ = 140857553920.

The previous prime is 464829928391. The next prime is 464829928469.

464829928464 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 = 464829928395 and 464829928404.

It is not an unprimeable number, because it can be changed into a prime (464829928469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 440179329 + ... + 440180384.

Almost surely, 2^464829928464 is an apocalyptic number.

464829928464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

464829928464 is an abundant number, since it is smaller than the sum of its proper divisors (845145325968).

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

464829928464 is a wasteful number, since it uses less digits than its factorization.

464829928464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880359735 (or 880359729 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 66.

The spelling of 464829928464 in words is "four hundred sixty-four billion, eight hundred twenty-nine million, nine hundred twenty-eight thousand, four hundred sixty-four".