450525024880 has 320 divisors, whose sum is σ = 1286125682688. Its totient is φ = 143420175360.

The previous prime is 450525024871. The next prime is 450525024893. The reversal of 450525024880 is 88420525054.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 92488845 + ... + 92493715.

Almost surely, 2^450525024880 is an apocalyptic number.

450525024880 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 450525024880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643062841344).

450525024880 is an abundant number, since it is smaller than the sum of its proper divisors (835600657808).

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

450525024880 is a wasteful number, since it uses less digits than its factorization.

450525024880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5124 (or 5118 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 43.

The spelling of 450525024880 in words is "four hundred fifty billion, five hundred twenty-five million, twenty-four thousand, eight hundred eighty".