1026451200 has 216 divisors, whose sum is σ = 3417347248. Its totient is φ = 271319040.

The previous prime is 1026451163. The next prime is 1026451213. The reversal of 1026451200 is 21546201.

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, 3705462 + ... + 3705738.

Almost surely, 2^1026451200 is an apocalyptic number.

1026451200 is a gapful number since it is divisible by the number (10) 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 1026451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708673624).

1026451200 is an abundant number, since it is smaller than the sum of its proper divisors (2390896048).

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

1026451200 is a wasteful number, since it uses less digits than its factorization.

1026451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1026451200 is about 32038.2771072353. The cubic root of 1026451200 is about 1008.7404486473.

Adding to 1026451200 its reverse (21546201), we get a palindrome (1047997401).

The spelling of 1026451200 in words is "one billion, twenty-six million, four hundred fifty-one thousand, two hundred".