270212800 has 168 divisors, whose sum is σ = 781793712. Its totient is φ = 90624000.

The previous prime is 270212797. The next prime is 270212801. The reversal of 270212800 is 8212072.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (270212801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228210 + ... + 229390.

It is an arithmetic number, because the mean of its divisors is an integer number (4653534).

Almost surely, 2^270212800 is an apocalyptic number.

270212800 is a gapful number since it is divisible by the number (20) 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 270212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390896856).

270212800 is an abundant number, since it is smaller than the sum of its proper divisors (511580912).

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

270212800 is a wasteful number, since it uses less digits than its factorization.

270212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 270212800 is about 16438.1507475750. The cubic root of 270212800 is about 646.5001637907.

Adding to 270212800 its reverse (8212072), we get a palindrome (278424872).

The spelling of 270212800 in words is "two hundred seventy million, two hundred twelve thousand, eight hundred".