451129728 has 128 divisors (see below), whose sum is σ = 1429240320. Its totient is φ = 123273216.

The previous prime is 451129703. The next prime is 451129733. The reversal of 451129728 is 827921154.

It is a tau number, because it is divible by the number of its divisors (128).

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, 58176 + ... + 65472.

It is an arithmetic number, because the mean of its divisors is an integer number (11165940).

Almost surely, 2^451129728 is an apocalyptic number.

451129728 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 451129728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714620160).

451129728 is an abundant number, since it is smaller than the sum of its proper divisors (978110592).

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

451129728 is a wasteful number, since it uses less digits than its factorization.

451129728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7344 (or 7332 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 451129728 is about 21239.8146884571. The cubic root of 451129728 is about 766.9501714787.

The spelling of 451129728 in words is "four hundred fifty-one million, one hundred twenty-nine thousand, seven hundred twenty-eight".