450162642600 has 576 divisors, whose sum is σ = 1674883604160. Its totient is φ = 107446886400.

The previous prime is 450162642593. The next prime is 450162642617. The reversal of 450162642600 is 6246261054.

450162642600 is a `hidden beast` number, since 4 + 5 + 0 + 1 + 6 + 2 + 6 + 42 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 387069619 + ... + 387070781.

It is an arithmetic number, because the mean of its divisors is an integer number (2907784035).

Almost surely, 2^450162642600 is an apocalyptic number.

450162642600 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 450162642600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837441802080).

450162642600 is an abundant number, since it is smaller than the sum of its proper divisors (1224720961560).

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

450162642600 is a wasteful number, since it uses less digits than its factorization.

450162642600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 450162642600 in words is "four hundred fifty billion, one hundred sixty-two million, six hundred forty-two thousand, six hundred".