450263440 has 80 divisors (see below), whose sum is σ = 1149658560. Its totient is φ = 162639360.

The previous prime is 450263417. The next prime is 450263447. The reversal of 450263440 is 44362054.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 450263399 and 450263408.

It is not an unprimeable number, because it can be changed into a prime (450263447) 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, 136531 + ... + 139789.

It is an arithmetic number, because the mean of its divisors is an integer number (14370732).

Almost surely, 2^450263440 is an apocalyptic number.

450263440 is a gapful number since it is divisible by the number (40) 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 450263440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574829280).

450263440 is an abundant number, since it is smaller than the sum of its proper divisors (699395120).

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

450263440 is a wasteful number, since it uses less digits than its factorization.

450263440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 450263440 is about 21219.4118674387. The cubic root of 450263440 is about 766.4589414123.

The spelling of 450263440 in words is "four hundred fifty million, two hundred sixty-three thousand, four hundred forty".