450712200456 has 192 divisors, whose sum is σ = 1416661908480. Its totient is φ = 126783169920.

The previous prime is 450712200439. The next prime is 450712200457. The reversal of 450712200456 is 654002217054.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 450712200456.

It is not an unprimeable number, because it can be changed into a prime (450712200457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112479205 + ... + 112483211.

It is an arithmetic number, because the mean of its divisors is an integer number (7378447440).

Almost surely, 2^450712200456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450712200456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708330954240).

450712200456 is an abundant number, since it is smaller than the sum of its proper divisors (965949708024).

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

450712200456 is a wasteful number, since it uses less digits than its factorization.

450712200456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7424 (or 7417 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 450712200456 in words is "four hundred fifty billion, seven hundred twelve million, two hundred thousand, four hundred fifty-six".