273263040 has 168 divisors, whose sum is σ = 946221120. Its totient is φ = 72382464.

The previous prime is 273263033. The next prime is 273263057. The reversal of 273263040 is 40362372.

273263040 is a `hidden beast` number, since 27 + 3 + 2 + 630 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 273262995 and 273263013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 688122 + ... + 688518.

Almost surely, 2^273263040 is an apocalyptic number.

273263040 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 273263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473110560).

273263040 is an abundant number, since it is smaller than the sum of its proper divisors (672958080).

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

273263040 is a wasteful number, since it uses less digits than its factorization.

273263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 273263040 is about 16530.6696779048. The cubic root of 273263040 is about 648.9236941222.

The spelling of 273263040 in words is "two hundred seventy-three million, two hundred sixty-three thousand, forty".