450283497120 has 960 divisors, whose sum is σ = 1692935354880. Its totient is φ = 112571596800.

The previous prime is 450283497101. The next prime is 450283497121. The reversal of 450283497120 is 21794382054.

450283497120 is a `hidden beast` number, since 4 + 502 + 8 + 34 + 97 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (450283497121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1661562585 + ... + 1661562855.

It is an arithmetic number, because the mean of its divisors is an integer number (1763474328).

Almost surely, 2^450283497120 is an apocalyptic number.

450283497120 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 450283497120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846467677440).

450283497120 is an abundant number, since it is smaller than the sum of its proper divisors (1242651857760).

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

450283497120 is a wasteful number, since it uses less digits than its factorization.

450283497120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

It can be divided in two parts, 4502834 and 97120, that added together give a palindrome (4599954).

The spelling of 450283497120 in words is "four hundred fifty billion, two hundred eighty-three million, four hundred ninety-seven thousand, one hundred twenty".