464306842944 has 252 divisors, whose sum is σ = 1639202026644. Its totient is φ = 124855492608.

The previous prime is 464306842933. The next prime is 464306842991. The reversal of 464306842944 is 449248603464.

It is a happy number.

464306842944 is a `hidden beast` number, since 46 + 4 + 306 + 8 + 4 + 294 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 163248321600 + 301058521344 = 404040^2 + 548688^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4039 + ... + 963654.

It is an arithmetic number, because the mean of its divisors is an integer number (6504769947).

Almost surely, 2^464306842944 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 464306842944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819601013322).

464306842944 is an abundant number, since it is smaller than the sum of its proper divisors (1174895183700).

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

464306842944 is a wasteful number, since it uses less digits than its factorization.

464306842944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967742 (or 967722 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 464306842944 in words is "four hundred sixty-four billion, three hundred six million, eight hundred forty-two thousand, nine hundred forty-four".