271828480 has 240 divisors, whose sum is σ = 831281616. Its totient is φ = 84295680.

The previous prime is 271828477. The next prime is 271828489. The reversal of 271828480 is 84828172.

It is a super-2 number, since 2×271828480² = 147781445078220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271828489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1379742 + ... + 1379938.

Almost surely, 2^271828480 is an apocalyptic number.

271828480 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 271828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415640808).

271828480 is an abundant number, since it is smaller than the sum of its proper divisors (559453136).

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

271828480 is a wasteful number, since it uses less digits than its factorization.

271828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The square root of 271828480 is about 16487.2217186523. The cubic root of 271828480 is about 647.7861408795.

The spelling of 271828480 in words is "two hundred seventy-one million, eight hundred twenty-eight thousand, four hundred eighty".