450226560 has 256 divisors, whose sum is σ = 1658764800. Its totient is φ = 101744640.

The previous prime is 450226523. The next prime is 450226561. The reversal of 450226560 is 65622054.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450226561) 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, 1868040 + ... + 1868280.

It is an arithmetic number, because the mean of its divisors is an integer number (6479550).

Almost surely, 2^450226560 is an apocalyptic number.

450226560 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 450226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829382400).

450226560 is an abundant number, since it is smaller than the sum of its proper divisors (1208538240).

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

450226560 is a wasteful number, since it uses less digits than its factorization.

450226560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 450226560 is about 21218.5428340402. The cubic root of 450226560 is about 766.4380145689.

The spelling of 450226560 in words is "four hundred fifty million, two hundred twenty-six thousand, five hundred sixty".