451003728 has 80 divisors (see below), whose sum is σ = 1359912960. Its totient is φ = 126112128.

The previous prime is 451003699. The next prime is 451003739. The reversal of 451003728 is 827300154.

It is a junction number, because it is equal to n+sod(n) for n = 451003695 and 451003704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1513 + ... + 30071.

It is an arithmetic number, because the mean of its divisors is an integer number (16998912).

Almost surely, 2^451003728 is an apocalyptic number.

451003728 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 451003728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679956480).

451003728 is an abundant number, since it is smaller than the sum of its proper divisors (908909232).

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

451003728 is a wasteful number, since it uses less digits than its factorization.

451003728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28624 (or 28618 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 451003728 is about 21236.8483537459. The cubic root of 451003728 is about 766.8787620711.

It can be divided in two parts, 45100 and 3728, that added together give a triangular number (48828 = T₃₁₂).

The spelling of 451003728 in words is "four hundred fifty-one million, three thousand, seven hundred twenty-eight".