451382400 has 288 divisors, whose sum is σ = 1841548800. Its totient is φ = 103127040.

The previous prime is 451382387. The next prime is 451382401. The reversal of 451382400 is 4283154.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451382401) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 200481 + ... + 202719.

Almost surely, 2^451382400 is an apocalyptic number.

451382400 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 451382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920774400).

451382400 is an abundant number, since it is smaller than the sum of its proper divisors (1390166400).

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

451382400 is a wasteful number, since it uses less digits than its factorization.

451382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 451382400 is about 21245.7619303239. The cubic root of 451382400 is about 767.0933310872.

The spelling of 451382400 in words is "four hundred fifty-one million, three hundred eighty-two thousand, four hundred".