273349890 has 120 divisors (see below), whose sum is σ = 808190460. Its totient is φ = 66242880.

The previous prime is 273349877. The next prime is 273349897. The reversal of 273349890 is 98943372.

It is a happy number.

273349890 is a `hidden beast` number, since 2 + 73 + 3 + 498 + 90 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 273340089 + 9801 = 16533^2 + 99^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (273349897) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 96616 + ... + 99404.

Almost surely, 2^273349890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273349890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404095230).

273349890 is an abundant number, since it is smaller than the sum of its proper divisors (534840570).

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

273349890 is a wasteful number, since it uses less digits than its factorization.

273349890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 273349890 is about 16533.2964045287. The cubic root of 273349890 is about 648.9924350358.

The spelling of 273349890 in words is "two hundred seventy-three million, three hundred forty-nine thousand, eight hundred ninety".