464820899360 has 192 divisors, whose sum is σ = 1191522576384. Its totient is φ = 170845593600.

The previous prime is 464820899341. The next prime is 464820899381. The reversal of 464820899360 is 63998028464.

It is a self number, because there is not a number n which added to its sum of digits gives 464820899360.

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 31 ways as a sum of consecutive naturals, for example, 15614090 + ... + 15643830.

It is an arithmetic number, because the mean of its divisors is an integer number (6205846752).

Almost surely, 2^464820899360 is an apocalyptic number.

464820899360 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 464820899360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595761288192).

464820899360 is an abundant number, since it is smaller than the sum of its proper divisors (726701677024).

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

464820899360 is a wasteful number, since it uses less digits than its factorization.

464820899360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29947 (or 29939 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 59.

The spelling of 464820899360 in words is "four hundred sixty-four billion, eight hundred twenty million, eight hundred ninety-nine thousand, three hundred sixty".