450417792 has 128 divisors (see below), whose sum is σ = 1350561600. Its totient is φ = 131747840.

The previous prime is 450417791. The next prime is 450417827. The reversal of 450417792 is 297714054.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 450417792.

It is not an unprimeable number, because it can be changed into a prime (450417791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120658 + ... + 124334.

Almost surely, 2^450417792 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 450417792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675280800).

450417792 is an abundant number, since it is smaller than the sum of its proper divisors (900143808).

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

450417792 is a wasteful number, since it uses less digits than its factorization.

450417792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 450417792 is about 21223.0486028751. The cubic root of 450417792 is about 766.5465130753.

The spelling of 450417792 in words is "four hundred fifty million, four hundred seventeen thousand, seven hundred ninety-two".