450846412632 has 192 divisors, whose sum is σ = 1532423093760. Its totient is φ = 116327232000.

The previous prime is 450846412619. The next prime is 450846412633. The reversal of 450846412632 is 236214648054.

450846412632 is a `hidden beast` number, since 4 + 5 + 0 + 8 + 4 + 6 + 4 + 1 + 2 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450846412633) 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 47 ways as a sum of consecutive naturals, for example, 567868 + ... + 1106420.

It is an arithmetic number, because the mean of its divisors is an integer number (7981370280).

Almost surely, 2^450846412632 is an apocalyptic number.

450846412632 is a gapful number since it is divisible by the number (42) 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 450846412632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766211546880).

450846412632 is an abundant number, since it is smaller than the sum of its proper divisors (1081576681128).

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

450846412632 is a wasteful number, since it uses less digits than its factorization.

450846412632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538734 (or 538727 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 450846412632 in words is "four hundred fifty billion, eight hundred forty-six million, four hundred twelve thousand, six hundred thirty-two".