451438848 has 216 divisors, whose sum is σ = 1553505408. Its totient is φ = 123273216.

The previous prime is 451438847. The next prime is 451438849. The reversal of 451438848 is 848834154.

It is an interprime number because it is at equal distance from previous prime (451438847) and next prime (451438849).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (451438843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370336 + ... + 371552.

Almost surely, 2^451438848 is an apocalyptic number.

451438848 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 451438848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776752704).

451438848 is an abundant number, since it is smaller than the sum of its proper divisors (1102066560).

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

451438848 is a wasteful number, since it uses less digits than its factorization.

451438848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1252 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 451438848 is about 21247.0903419739. The cubic root of 451438848 is about 767.1253062517.

The spelling of 451438848 in words is "four hundred fifty-one million, four hundred thirty-eight thousand, eight hundred forty-eight".