465385881600 has 612 divisors, whose sum is σ = 1714166985076. Its totient is φ = 120607211520.

The previous prime is 465385881589. The next prime is 465385881613. The reversal of 465385881600 is 6188583564.

465385881600 is a `hidden beast` number, since 4 + 6 + 53 + 8 + 588 + 1 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15863906304 + 449521975296 = 125952^2 + 670464^2 .

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, 545586774 + ... + 545587626.

Almost surely, 2^465385881600 is an apocalyptic number.

465385881600 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 465385881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857083492538).

465385881600 is an abundant number, since it is smaller than the sum of its proper divisors (1248781103476).

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

465385881600 is an equidigital number, since it uses as much as digits as its factorization.

465385881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 465385881600 in words is "four hundred sixty-five billion, three hundred eighty-five million, eight hundred eighty-one thousand, six hundred".