1427251200 has 336 divisors, whose sum is σ = 4973092416. Its totient is φ = 360448000.

The previous prime is 1427251193. The next prime is 1427251229. The reversal of 1427251200 is 21527241.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14131150 + ... + 14131250.

Almost surely, 2^1427251200 is an apocalyptic number.

1427251200 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 1427251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486546208).

1427251200 is an abundant number, since it is smaller than the sum of its proper divisors (3545841216).

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

1427251200 is a wasteful number, since it uses less digits than its factorization.

1427251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 1427251200 is about 37778.9782815788. The cubic root of 1427251200 is about 1125.9008290976.

Adding to 1427251200 its reverse (21527241), we get a palindrome (1448778441).

The spelling of 1427251200 in words is "one billion, four hundred twenty-seven million, two hundred fifty-one thousand, two hundred".