464878878464 has 144 divisors (see below), whose sum is σ = 1245908590080. Its totient is φ = 167189114880.

The previous prime is 464878878439. The next prime is 464878878479.

It is a happy number.

464878878464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×464878878464² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 464878878391 and 464878878400.

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 15 ways as a sum of consecutive naturals, for example, 650804 + ... + 1163315.

Almost surely, 2^464878878464 is an apocalyptic number.

464878878464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

464878878464 is an abundant number, since it is smaller than the sum of its proper divisors (781029711616).

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

464878878464 is a wasteful number, since it uses less digits than its factorization.

464878878464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814166 (or 1814152 counting only the distinct ones).

The product of its digits is 1849688064, while the sum is 74.

The spelling of 464878878464 in words is "four hundred sixty-four billion, eight hundred seventy-eight million, eight hundred seventy-eight thousand, four hundred sixty-four".