450280430600 has 384 divisors, whose sum is σ = 1454119430400. Its totient is φ = 125082316800.

The previous prime is 450280430581. The next prime is 450280430659. The reversal of 450280430600 is 6034082054.

It is a super-3 number, since 3×450280430600³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

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, 5767022 + ... + 5844578.

It is an arithmetic number, because the mean of its divisors is an integer number (3786769350).

Almost surely, 2^450280430600 is an apocalyptic number.

450280430600 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 450280430600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727059715200).

450280430600 is an abundant number, since it is smaller than the sum of its proper divisors (1003838999800).

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

450280430600 is a wasteful number, since it uses less digits than its factorization.

450280430600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77633 (or 77624 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 450280430600 in words is "four hundred fifty billion, two hundred eighty million, four hundred thirty thousand, six hundred".