450153440 has 96 divisors (see below), whose sum is σ = 1165933440. Its totient is φ = 162880000.

The previous prime is 450153413. The next prime is 450153443. The reversal of 450153440 is 44351054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450153443) 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, 441251 + ... + 442269.

It is an arithmetic number, because the mean of its divisors is an integer number (12145140).

Almost surely, 2^450153440 is an apocalyptic number.

450153440 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 450153440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582966720).

450153440 is an abundant number, since it is smaller than the sum of its proper divisors (715780000).

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

450153440 is a wasteful number, since it uses less digits than its factorization.

450153440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 450153440 is about 21216.8197428361. The cubic root of 450153440 is about 766.3965206584.

The spelling of 450153440 in words is "four hundred fifty million, one hundred fifty-three thousand, four hundred forty".