450842112 has 200 divisors, whose sum is σ = 1538870256. Its totient is φ = 128729088.

The previous prime is 450842107. The next prime is 450842123. The reversal of 450842112 is 211248054.

450842112 is a `hidden beast` number, since 4 + 508 + 42 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 289528 + ... + 291080.

Almost surely, 2^450842112 is an apocalyptic number.

450842112 is a gapful number since it is divisible by the number (42) 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 450842112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769435128).

450842112 is an abundant number, since it is smaller than the sum of its proper divisors (1088028144).

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

450842112 is an equidigital number, since it uses as much as digits as its factorization.

450842112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 450842112 is about 21233.0429284170. The cubic root of 450842112 is about 766.7871481311.

The spelling of 450842112 in words is "four hundred fifty million, eight hundred forty-two thousand, one hundred twelve".