451771128 has 128 divisors (see below), whose sum is σ = 1298304000. Its totient is φ = 145463040.

The previous prime is 451771127. The next prime is 451771139. The reversal of 451771128 is 821177154.

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 = 451771092 and 451771101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451771127) 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 31 ways as a sum of consecutive naturals, for example, 1230801 + ... + 1231167.

It is an arithmetic number, because the mean of its divisors is an integer number (10143000).

Almost surely, 2^451771128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451771128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649152000).

451771128 is an abundant number, since it is smaller than the sum of its proper divisors (846532872).

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

451771128 is a wasteful number, since it uses less digits than its factorization.

451771128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 552 counting only the distinct ones).

The product of its digits is 15680, while the sum is 36.

The square root of 451771128 is about 21254.9083272547. The cubic root of 451771128 is about 767.3134734006.

The spelling of 451771128 in words is "four hundred fifty-one million, seven hundred seventy-one thousand, one hundred twenty-eight".