451115280 has 480 divisors, whose sum is σ = 1931304960. Its totient is φ = 91653120.

The previous prime is 451115243. The next prime is 451115311. The reversal of 451115280 is 82511154.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4379709 + ... + 4379811.

It is an arithmetic number, because the mean of its divisors is an integer number (4023552).

Almost surely, 2^451115280 is an apocalyptic number.

451115280 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 451115280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965652480).

451115280 is an abundant number, since it is smaller than the sum of its proper divisors (1480189680).

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

451115280 is a wasteful number, since it uses less digits than its factorization.

451115280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 451115280 is about 21239.4745697722. The cubic root of 451115280 is about 766.9419838749.

It can be divided in two parts, 4511 and 15280, that added together give a palindrome (19791).

The spelling of 451115280 in words is "four hundred fifty-one million, one hundred fifteen thousand, two hundred eighty".