465266499840 has 432 divisors, whose sum is σ = 1634394827520. Its totient is φ = 122183516160.

The previous prime is 465266499821. The next prime is 465266499913. The reversal of 465266499840 is 48994662564.

465266499840 is a `hidden beast` number, since 4 + 6 + 5 + 2 + 66 + 499 + 84 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412104396 + ... + 412105524.

It is an arithmetic number, because the mean of its divisors is an integer number (3783321360).

Almost surely, 2^465266499840 is an apocalyptic number.

465266499840 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 465266499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817197413760).

465266499840 is an abundant number, since it is smaller than the sum of its proper divisors (1169128327680).

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

465266499840 is a wasteful number, since it uses less digits than its factorization.

465266499840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 465266499840 in words is "four hundred sixty-five billion, two hundred sixty-six million, four hundred ninety-nine thousand, eight hundred forty".