450202368 has 288 divisors, whose sum is σ = 1563512832. Its totient is φ = 111513600.

The previous prime is 450202339. The next prime is 450202369. The reversal of 450202368 is 863202054.

It is not an unprimeable number, because it can be changed into a prime (450202369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1359963 + ... + 1360293.

It is an arithmetic number, because the mean of its divisors is an integer number (5428864).

Almost surely, 2^450202368 is an apocalyptic number.

450202368 is a gapful number since it is divisible by the number (48) 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 450202368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781756416).

450202368 is an abundant number, since it is smaller than the sum of its proper divisors (1113310464).

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

450202368 is a wasteful number, since it uses less digits than its factorization.

450202368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 450202368 is about 21217.9727589607. The cubic root of 450202368 is about 766.4242866652.

The spelling of 450202368 in words is "four hundred fifty million, two hundred two thousand, three hundred sixty-eight".