464859892224 has 1440 divisors, whose sum is σ = 1793105233920. Its totient is φ = 114709561344.

The previous prime is 464859892213. The next prime is 464859892247. The reversal of 464859892224 is 422298958464.

464859892224 is a `hidden beast` number, since 46 + 485 + 9 + 8 + 92 + 2 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3660314049 + ... + 3660314175.

It is an arithmetic number, because the mean of its divisors is an integer number (1245211968).

Almost surely, 2^464859892224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464859892224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896552616960).

464859892224 is an abundant number, since it is smaller than the sum of its proper divisors (1328245341696).

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

464859892224 is a wasteful number, since it uses less digits than its factorization.

464859892224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 224 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 464859892224 in words is "four hundred sixty-four billion, eight hundred fifty-nine million, eight hundred ninety-two thousand, two hundred twenty-four".