1027452800 has 288 divisors, whose sum is σ = 2970446040. Its totient is φ = 348160000.

The previous prime is 1027452787. The next prime is 1027452821. The reversal of 1027452800 is 82547201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10172750 + ... + 10172850.

Almost surely, 2^1027452800 is an apocalyptic number.

1027452800 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 1027452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485223020).

1027452800 is an abundant number, since it is smaller than the sum of its proper divisors (1942993240).

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

1027452800 is a wasteful number, since it uses less digits than its factorization.

1027452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 1027452800 is about 32053.9045983481. The cubic root of 1027452800 is about 1009.0684479977.

The spelling of 1027452800 in words is "one billion, twenty-seven million, four hundred fifty-two thousand, eight hundred".