451054800 has 270 divisors, whose sum is σ = 1821554358. Its totient is φ = 103057920.

The previous prime is 451054783. The next prime is 451054831. The reversal of 451054800 is 8450154.

It can be written as a sum of positive squares in 3 ways, for example, as 20575296 + 430479504 = 4536^2 + 20748^2 .

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 175122 + ... + 177678.

Almost surely, 2^451054800 is an apocalyptic number.

451054800 is a gapful number since it is divisible by the number (40) 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 451054800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910777179).

451054800 is an abundant number, since it is smaller than the sum of its proper divisors (1370499558).

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

451054800 is a wasteful number, since it uses less digits than its factorization.

451054800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 451054800 is about 21238.0507580145. The cubic root of 451054800 is about 766.9077082870.

The spelling of 451054800 in words is "four hundred fifty-one million, fifty-four thousand, eight hundred".