451280000 has 80 divisors (see below), whose sum is σ = 1123632510. Its totient is φ = 180480000.

The previous prime is 451279979. The next prime is 451280003. The reversal of 451280000 is 82154.

It can be written as a sum of positive squares in 5 ways, for example, as 84787264 + 366492736 = 9208^2 + 19144^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (451280003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 77180 + ... + 82820.

Almost surely, 2^451280000 is an apocalyptic number.

451280000 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 451280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561816255).

451280000 is an abundant number, since it is smaller than the sum of its proper divisors (672352510).

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

451280000 is an frugal number, since it uses more digits than its factorization.

451280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5675 (or 5648 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 451280000 is about 21243.3519012420. The cubic root of 451280000 is about 767.0353194487.

The spelling of 451280000 in words is "four hundred fifty-one million, two hundred eighty thousand".