464882222880 has 288 divisors, whose sum is σ = 1680100216704. Its totient is φ = 116808265728.

The previous prime is 464882222873. The next prime is 464882222897. The reversal of 464882222880 is 88222288464.

464882222880 is a `hidden beast` number, since 4 + 64 + 88 + 222 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×464882222880² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2114292 + ... + 2323788.

It is an arithmetic number, because the mean of its divisors is an integer number (5833681308).

Almost surely, 2^464882222880 is an apocalyptic number.

464882222880 is a gapful number since it is divisible by the number (40) 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 464882222880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840050108352).

464882222880 is an abundant number, since it is smaller than the sum of its proper divisors (1215217993824).

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

464882222880 is a wasteful number, since it uses less digits than its factorization.

464882222880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209608 (or 209597 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 54.

The spelling of 464882222880 in words is "four hundred sixty-four billion, eight hundred eighty-two million, two hundred twenty-two thousand, eight hundred eighty".