450268038 has 64 divisors (see below), whose sum is σ = 1094135040. Its totient is φ = 136123200.

The previous prime is 450268031. The next prime is 450268067. The reversal of 450268038 is 830862054.

It is a junction number, because it is equal to n+sod(n) for n = 450267993 and 450268011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450268031) 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, 409906 + ... + 411002.

It is an arithmetic number, because the mean of its divisors is an integer number (17095860).

Almost surely, 2^450268038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450268038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547067520).

450268038 is an abundant number, since it is smaller than the sum of its proper divisors (643867002).

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

450268038 is a wasteful number, since it uses less digits than its factorization.

450268038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 450268038 is about 21219.5202113526. The cubic root of 450268038 is about 766.4615503785.

The spelling of 450268038 in words is "four hundred fifty million, two hundred sixty-eight thousand, thirty-eight".