451312830 has 128 divisors (see below), whose sum is σ = 1255564800. Its totient is φ = 115257600.

The previous prime is 451312811. The next prime is 451312837. The reversal of 451312830 is 38213154.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 451312794 and 451312803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451312837) 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 63 ways as a sum of consecutive naturals, for example, 652785 + ... + 653475.

It is an arithmetic number, because the mean of its divisors is an integer number (9809100).

Almost surely, 2^451312830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451312830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627782400).

451312830 is an abundant number, since it is smaller than the sum of its proper divisors (804251970).

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

451312830 is a wasteful number, since it uses less digits than its factorization.

451312830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 451312830 is about 21244.1245995216. The cubic root of 451312830 is about 767.0539192529.

Adding to 451312830 its reverse (38213154), we get a palindrome (489525984).

It can be divided in two parts, 45131 and 2830, that added together give a square (47961 = 219²).

The spelling of 451312830 in words is "four hundred fifty-one million, three hundred twelve thousand, eight hundred thirty".