450408678720 has 1792 divisors, whose sum is σ = 2064642048000. Its totient is φ = 80050913280.

The previous prime is 450408678677. The next prime is 450408678757. The reversal of 450408678720 is 27876804054.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 255 ways as a sum of consecutive naturals, for example, 1290569106 + ... + 1290569454.

It is an arithmetic number, because the mean of its divisors is an integer number (1152144000).

Almost surely, 2^450408678720 is an apocalyptic number.

450408678720 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 450408678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032321024000).

450408678720 is an abundant number, since it is smaller than the sum of its proper divisors (1614233369280).

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

450408678720 is a wasteful number, since it uses less digits than its factorization.

450408678720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 450408678720 in words is "four hundred fifty billion, four hundred eight million, six hundred seventy-eight thousand, seven hundred twenty".