464799485808 has 720 divisors, whose sum is σ = 1760026993920. Its totient is φ = 113248751616.

The previous prime is 464799485771. The next prime is 464799485809. The reversal of 464799485808 is 808584997464.

464799485808 is a `hidden beast` number, since 4 + 64 + 7 + 9 + 9 + 485 + 80 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464799485809) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 52414591 + ... + 52423457.

It is an arithmetic number, because the mean of its divisors is an integer number (2444481936).

Almost surely, 2^464799485808 is an apocalyptic number.

464799485808 is a gapful number since it is divisible by the number (48) 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 464799485808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880013496960).

464799485808 is an abundant number, since it is smaller than the sum of its proper divisors (1295227508112).

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

464799485808 is a wasteful number, since it uses less digits than its factorization.

464799485808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8954 (or 8938 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 464799485808 in words is "four hundred sixty-four billion, seven hundred ninety-nine million, four hundred eighty-five thousand, eight hundred eight".