450952128 has 168 divisors, whose sum is σ = 1425830016. Its totient is φ = 135129600.

The previous prime is 450952111. The next prime is 450952141. The reversal of 450952128 is 821259054.

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

It is a junction number, because it is equal to n+sod(n) for n = 450952092 and 450952101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 652263 + ... + 652953.

Almost surely, 2^450952128 is an apocalyptic number.

450952128 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 450952128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712915008).

450952128 is an abundant number, since it is smaller than the sum of its proper divisors (974877888).

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

450952128 is a wasteful number, since it uses less digits than its factorization.

450952128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 450952128 is about 21235.6334494641. The cubic root of 450952128 is about 766.8495143799.

The spelling of 450952128 in words is "four hundred fifty million, nine hundred fifty-two thousand, one hundred twenty-eight".