450085377780 has 36 divisors (see below), whose sum is σ = 1365258979812. Its totient is φ = 120022767360.

The previous prime is 450085377761. The next prime is 450085377793. The reversal of 450085377780 is 87773580054.

450085377780 is a `hidden beast` number, since 4 + 500 + 8 + 53 + 7 + 7 + 7 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 327737930256 + 122347447524 = 572484^2 + 349782^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1250236981 + ... + 1250237340.

Almost surely, 2^450085377780 is an apocalyptic number.

It is an amenable number.

450085377780 is an abundant number, since it is smaller than the sum of its proper divisors (915173602032).

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

450085377780 is a wasteful number, since it uses less digits than its factorization.

450085377780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500474336 (or 2500474331 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 450085377780 in words is "four hundred fifty billion, eighty-five million, three hundred seventy-seven thousand, seven hundred eighty".