451322928 has 360 divisors, whose sum is σ = 1605397248. Its totient is φ = 122145408.

The previous prime is 451322923. The next prime is 451322939. The reversal of 451322928 is 829223154.

It is a happy number.

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 = 451322892 and 451322901.

It is not an unprimeable number, because it can be changed into a prime (451322923) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 4381725 + ... + 4381827.

Almost surely, 2^451322928 is an apocalyptic number.

451322928 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 451322928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802698624).

451322928 is an abundant number, since it is smaller than the sum of its proper divisors (1154074320).

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

451322928 is a wasteful number, since it uses less digits than its factorization.

451322928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 138 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 451322928 is about 21244.3622639043. The cubic root of 451322928 is about 767.0596400835.

The spelling of 451322928 in words is "four hundred fifty-one million, three hundred twenty-two thousand, nine hundred twenty-eight".