451808448 has 224 divisors, whose sum is σ = 1549847040. Its totient is φ = 112803840.

The previous prime is 451808431. The next prime is 451808471. The reversal of 451808448 is 844808154.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 331288 + ... + 332648.

It is an arithmetic number, because the mean of its divisors is an integer number (6918960).

Almost surely, 2^451808448 is an apocalyptic number.

451808448 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 451808448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774923520).

451808448 is an abundant number, since it is smaller than the sum of its proper divisors (1098038592).

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

451808448 is a wasteful number, since it uses less digits than its factorization.

451808448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 42.

The square root of 451808448 is about 21255.7862239909. The cubic root of 451808448 is about 767.3346016140.

It can be divided in two parts, 45180 and 8448, that added together give a triangular number (53628 = T₃₂₇).

The spelling of 451808448 in words is "four hundred fifty-one million, eight hundred eight thousand, four hundred forty-eight".