450242760 has 128 divisors (see below), whose sum is σ = 1521192960. Its totient is φ = 105619200.

The previous prime is 450242743. The next prime is 450242761. The reversal of 450242760 is 67242054.

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

It is not an unprimeable number, because it can be changed into a prime (450242761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35419 + ... + 46421.

It is an arithmetic number, because the mean of its divisors is an integer number (11884320).

Almost surely, 2^450242760 is an apocalyptic number.

450242760 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 450242760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760596480).

450242760 is an abundant number, since it is smaller than the sum of its proper divisors (1070950200).

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

450242760 is a wasteful number, since it uses less digits than its factorization.

450242760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11059 (or 11055 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 450242760 is about 21218.9245721832. The cubic root of 450242760 is about 766.4472070866.

The spelling of 450242760 in words is "four hundred fifty million, two hundred forty-two thousand, seven hundred sixty".