465055241760 has 216 divisors, whose sum is σ = 1659003775884. Its totient is φ = 118622592000.

The previous prime is 465055241743. The next prime is 465055241801. The reversal of 465055241760 is 67142550564.

465055241760 is a `hidden beast` number, since 4 + 6 + 50 + 5 + 524 + 1 + 76 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 435489127056 + 29566114704 = 659916^2 + 171948^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 456510 + ... + 1067010.

Almost surely, 2^465055241760 is an apocalyptic number.

465055241760 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 465055241760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829501887942).

465055241760 is an abundant number, since it is smaller than the sum of its proper divisors (1193948534124).

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

465055241760 is a wasteful number, since it uses less digits than its factorization.

465055241760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610568 (or 610534 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 465055241760 in words is "four hundred sixty-five billion, fifty-five million, two hundred forty-one thousand, seven hundred sixty".