464803795456 has 960 divisors, whose sum is σ = 1365518601216. Its totient is φ = 154983628800.

The previous prime is 464803795409. The next prime is 464803795457. The reversal of 464803795456 is 654597308464.

It is a junction number, because it is equal to n+sod(n) for n = 464803795394 and 464803795403.

It is not an unprimeable number, because it can be changed into a prime (464803795457) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3548120511 + ... + 3548120641.

Almost surely, 2^464803795456 is an apocalyptic number.

464803795456 is a gapful number since it is divisible by the number (46) 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 464803795456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682759300608).

464803795456 is an abundant number, since it is smaller than the sum of its proper divisors (900714805760).

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

464803795456 is a wasteful number, since it uses less digits than its factorization.

464803795456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 61.

The spelling of 464803795456 in words is "four hundred sixty-four billion, eight hundred three million, seven hundred ninety-five thousand, four hundred fifty-six".