451241280 has 336 divisors, whose sum is σ = 1841723520. Its totient is φ = 103016448.

The previous prime is 451241267. The next prime is 451241291. The reversal of 451241280 is 82142154.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 543906 + ... + 544734.

It is an arithmetic number, because the mean of its divisors is an integer number (5481320).

Almost surely, 2^451241280 is an apocalyptic number.

451241280 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 451241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920861760).

451241280 is an abundant number, since it is smaller than the sum of its proper divisors (1390482240).

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

451241280 is an equidigital number, since it uses as much as digits as its factorization.

451241280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 451241280 is about 21242.4405377537. The cubic root of 451241280 is about 767.0133815115.

The spelling of 451241280 in words is "four hundred fifty-one million, two hundred forty-one thousand, two hundred eighty".