450213696 has 84 divisors (see below), whose sum is σ = 1302064452. Its totient is φ = 148721664.

The previous prime is 450213691. The next prime is 450213697. The reversal of 450213696 is 696312054.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 116640000 + 333573696 = 10800^2 + 18264^2 .

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 450213696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450213691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61630 + ... + 68546.

Almost surely, 2^450213696 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 450213696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651032226).

450213696 is an abundant number, since it is smaller than the sum of its proper divisors (851850756).

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

450213696 is a wasteful number, since it uses less digits than its factorization.

450213696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7048 (or 7035 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 450213696 is about 21218.2397007857. The cubic root of 450213696 is about 766.4307148718.

The spelling of 450213696 in words is "four hundred fifty million, two hundred thirteen thousand, six hundred ninety-six".