451229328 has 360 divisors, whose sum is σ = 1543651200. Its totient is φ = 122411520.

The previous prime is 451229327. The next prime is 451229381. The reversal of 451229328 is 823922154.

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 = 451229292 and 451229301.

It is not an unprimeable number, because it can be changed into a prime (451229327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9600601 + ... + 9600647.

It is an arithmetic number, because the mean of its divisors is an integer number (4287920).

Almost surely, 2^451229328 is an apocalyptic number.

451229328 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 451229328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771825600).

451229328 is an abundant number, since it is smaller than the sum of its proper divisors (1092421872).

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

451229328 is a wasteful number, since it uses less digits than its factorization.

451229328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 111 counting only the distinct ones).

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

The square root of 451229328 is about 21242.1592122835. The cubic root of 451229328 is about 767.0066095063.

The spelling of 451229328 in words is "four hundred fifty-one million, two hundred twenty-nine thousand, three hundred twenty-eight".