451852128 has 288 divisors, whose sum is σ = 1653009120. Its totient is φ = 119024640.

The previous prime is 451852099. The next prime is 451852133. The reversal of 451852128 is 821258154.

451852128 is a `hidden beast` number, since 451 + 85 + 2 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 451852092 and 451852101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 549958 + ... + 550778.

It is an arithmetic number, because the mean of its divisors is an integer number (5739615).

Almost surely, 2^451852128 is an apocalyptic number.

451852128 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 451852128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826504560).

451852128 is an abundant number, since it is smaller than the sum of its proper divisors (1201156992).

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

451852128 is a wasteful number, since it uses less digits than its factorization.

451852128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 846 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 451852128 is about 21256.8136840873. The cubic root of 451852128 is about 767.3593289776.

The spelling of 451852128 in words is "four hundred fifty-one million, eight hundred fifty-two thousand, one hundred twenty-eight".