450627408 has 640 divisors, whose sum is σ = 1828454400. Its totient is φ = 102643200.

The previous prime is 450627407. The next prime is 450627421. The reversal of 450627408 is 804726054.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450627407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14536353 + ... + 14536383.

It is an arithmetic number, because the mean of its divisors is an integer number (2856960).

Almost surely, 2^450627408 is an apocalyptic number.

450627408 is a gapful number since it is divisible by the number (48) 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 450627408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914227200).

450627408 is an abundant number, since it is smaller than the sum of its proper divisors (1377826992).

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

450627408 is a wasteful number, since it uses less digits than its factorization.

450627408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 450627408 is about 21227.9864330087. The cubic root of 450627408 is about 766.6654067612.

The spelling of 450627408 in words is "four hundred fifty million, six hundred twenty-seven thousand, four hundred eight".