450410924880 has 480 divisors, whose sum is σ = 1791811507200. Its totient is φ = 99245150208.

The previous prime is 450410924851. The next prime is 450410924941. The reversal of 450410924880 is 88429014054.

450410924880 is a `hidden beast` number, since 4 + 504 + 10 + 92 + 48 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20315241 + ... + 20337399.

It is an arithmetic number, because the mean of its divisors is an integer number (3732940640).

Almost surely, 2^450410924880 is an apocalyptic number.

450410924880 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 450410924880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895905753600).

450410924880 is an abundant number, since it is smaller than the sum of its proper divisors (1341400582320).

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

450410924880 is a wasteful number, since it uses less digits than its factorization.

450410924880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22331 (or 22322 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 450410924880 in words is "four hundred fifty billion, four hundred ten million, nine hundred twenty-four thousand, eight hundred eighty".