451445200 has 120 divisors (see below), whose sum is σ = 1157651352. Its totient is φ = 168591360.

The previous prime is 451445161. The next prime is 451445227. The reversal of 451445200 is 2544154.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 15303744 + 436141456 = 3912^2 + 20884^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1339432 + ... + 1339768.

Almost surely, 2^451445200 is an apocalyptic number.

451445200 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 451445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578825676).

451445200 is an abundant number, since it is smaller than the sum of its proper divisors (706206152).

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

451445200 is a wasteful number, since it uses less digits than its factorization.

451445200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 451445200 is about 21247.2398207391. The cubic root of 451445200 is about 767.1289041972.

Adding to 451445200 its reverse (2544154), we get a palindrome (453989354).

The spelling of 451445200 in words is "four hundred fifty-one million, four hundred forty-five thousand, two hundred".