273778240 has 56 divisors (see below), whose sum is σ = 659328120. Its totient is φ = 108269568.

The previous prime is 273778181. The next prime is 273778249. The reversal of 273778240 is 42877372.

It can be written as a sum of positive squares in 4 ways, for example, as 67108864 + 206669376 = 8192^2 + 14376^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 273778193 and 273778202.

It is not an unprimeable number, because it can be changed into a prime (273778249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23674 + ... + 33286.

Almost surely, 2^273778240 is an apocalyptic number.

273778240 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 273778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329664060).

273778240 is an abundant number, since it is smaller than the sum of its proper divisors (385549880).

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

273778240 is an equidigital number, since it uses as much as digits as its factorization.

273778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9719 (or 9709 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 40.

The square root of 273778240 is about 16546.2454955800. The cubic root of 273778240 is about 649.3312569826.

The spelling of 273778240 in words is "two hundred seventy-three million, seven hundred seventy-eight thousand, two hundred forty".