270241920 has 320 divisors, whose sum is σ = 1041911640. Its totient is φ = 66355200.

The previous prime is 270241919. The next prime is 270241931. The reversal of 270241920 is 29142072.

It can be written as a sum of positive squares in 4 ways, for example, as 244109376 + 26132544 = 15624^2 + 5112^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 673720 + ... + 674120.

Almost surely, 2^270241920 is an apocalyptic number.

270241920 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 270241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520955820).

270241920 is an abundant number, since it is smaller than the sum of its proper divisors (771669720).

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

270241920 is a wasteful number, since it uses less digits than its factorization.

270241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 270241920 is about 16439.0364681145. The cubic root of 270241920 is about 646.5233867327.

Adding to 270241920 its reverse (29142072), we get a palindrome (299383992).

The spelling of 270241920 in words is "two hundred seventy million, two hundred forty-one thousand, nine hundred twenty".