464200956648 has 640 divisors, whose sum is σ = 1607050368000. Its totient is φ = 123246489600.

The previous prime is 464200956641. The next prime is 464200956697. The reversal of 464200956648 is 846659002464.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 464200956594 and 464200956603.

It is not an unprimeable number, because it can be changed into a prime (464200956641) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 152245428 + ... + 152248476.

It is an arithmetic number, because the mean of its divisors is an integer number (2511016200).

Almost surely, 2^464200956648 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 464200956648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803525184000).

464200956648 is an abundant number, since it is smaller than the sum of its proper divisors (1142849411352).

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

464200956648 is a wasteful number, since it uses less digits than its factorization.

464200956648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3175 (or 3162 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 464200956648 in words is "four hundred sixty-four billion, two hundred million, nine hundred fifty-six thousand, six hundred forty-eight".