451530240 has 320 divisors, whose sum is σ = 1701748224. Its totient is φ = 99975168.

The previous prime is 451530151. The next prime is 451530257. The reversal of 451530240 is 42035154.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 451530240.

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 31 ways as a sum of consecutive naturals, for example, 1989007 + ... + 1989233.

Almost surely, 2^451530240 is an apocalyptic number.

451530240 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 451530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850874112).

451530240 is an abundant number, since it is smaller than the sum of its proper divisors (1250217984).

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

451530240 is a wasteful number, since it uses less digits than its factorization.

451530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 451530240 is about 21249.2409276190. The cubic root of 451530240 is about 767.1770699149.

Adding to 451530240 its reverse (42035154), we get a palindrome (493565394).

The spelling of 451530240 in words is "four hundred fifty-one million, five hundred thirty thousand, two hundred forty".