450126720 has 320 divisors, whose sum is σ = 1695790800. Its totient is φ = 113467392.

The previous prime is 450126713. The next prime is 450126737. The reversal of 450126720 is 27621054.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×450126720² = 405228128115916800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 984732 + ... + 985188.

Almost surely, 2^450126720 is an apocalyptic number.

450126720 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 450126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847895400).

450126720 is an abundant number, since it is smaller than the sum of its proper divisors (1245664080).

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

450126720 is a wasteful number, since it uses less digits than its factorization.

450126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 450126720 is about 21216.1900443977. The cubic root of 450126720 is about 766.3813565547.

Adding to 450126720 its reverse (27621054), we get a palindrome (477747774).

The spelling of 450126720 in words is "four hundred fifty million, one hundred twenty-six thousand, seven hundred twenty".