450827832 has 192 divisors, whose sum is σ = 1451913120. Its totient is φ = 115540992.

The previous prime is 450827827. The next prime is 450827843. The reversal of 450827832 is 238728054.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 565258 + ... + 566054.

Almost surely, 2^450827832 is an apocalyptic number.

450827832 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 450827832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725956560).

450827832 is an abundant number, since it is smaller than the sum of its proper divisors (1001085288).

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

450827832 is a wasteful number, since it uses less digits than its factorization.

450827832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 450827832 is about 21232.7066574189. The cubic root of 450827832 is about 766.7790522917.

The spelling of 450827832 in words is "four hundred fifty million, eight hundred twenty-seven thousand, eight hundred thirty-two".