450919826208 has 192 divisors, whose sum is σ = 1384931520000. Its totient is φ = 142341380352.

The previous prime is 450919826207. The next prime is 450919826219. The reversal of 450919826208 is 802628919054.

It is a happy number.

450919826208 is a `hidden beast` number, since 4 + 5 + 0 + 9 + 1 + 9 + 8 + 2 + 620 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (450919826207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83702491 + ... + 83707877.

It is an arithmetic number, because the mean of its divisors is an integer number (7213185000).

Almost surely, 2^450919826208 is an apocalyptic number.

450919826208 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 450919826208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692465760000).

450919826208 is an abundant number, since it is smaller than the sum of its proper divisors (934011693792).

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

450919826208 is a wasteful number, since it uses less digits than its factorization.

450919826208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10524 (or 10510 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 450919826208 in words is "four hundred fifty billion, nine hundred nineteen million, eight hundred twenty-six thousand, two hundred eight".