450732282 has 192 divisors, whose sum is σ = 1257596928. Its totient is φ = 105840000.

The previous prime is 450732277. The next prime is 450732287. The reversal of 450732282 is 282237054.

It is an interprime number because it is at equal distance from previous prime (450732277) and next prime (450732287).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (450732287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2984907 + ... + 2985057.

It is an arithmetic number, because the mean of its divisors is an integer number (6549984).

Almost surely, 2^450732282 is an apocalyptic number.

450732282 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 450732282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628798464).

450732282 is an abundant number, since it is smaller than the sum of its proper divisors (806864646).

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

450732282 is a wasteful number, since it uses less digits than its factorization.

450732282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 450732282 is about 21230.4564717766. The cubic root of 450732282 is about 766.7248772017.

The spelling of 450732282 in words is "four hundred fifty million, seven hundred thirty-two thousand, two hundred eighty-two".