450673449408 has 672 divisors, whose sum is σ = 1696752512000. Its totient is φ = 111042772992.

The previous prime is 450673449403. The next prime is 450673449431. The reversal of 450673449408 is 804944376054.

450673449408 is a `hidden beast` number, since 4 + 506 + 7 + 3 + 44 + 94 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450673449403) by changing a digit.

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, 72697893 + ... + 72704091.

Almost surely, 2^450673449408 is an apocalyptic number.

450673449408 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 450673449408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848376256000).

450673449408 is an abundant number, since it is smaller than the sum of its proper divisors (1246079062592).

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

450673449408 is a wasteful number, since it uses less digits than its factorization.

450673449408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6329 (or 6316 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 450673449408 in words is "four hundred fifty billion, six hundred seventy-three million, four hundred forty-nine thousand, four hundred eight".