275315040 has 576 divisors, whose sum is σ = 1268047872. Its totient is φ = 52531200.

The previous prime is 275315011. The next prime is 275315071. The reversal of 275315040 is 40513572.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 275314995 and 275315013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1441345 + ... + 1441535.

It is an arithmetic number, because the mean of its divisors is an integer number (2201472).

Almost surely, 2^275315040 is an apocalyptic number.

275315040 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 275315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634023936).

275315040 is an abundant number, since it is smaller than the sum of its proper divisors (992732832).

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

275315040 is a wasteful number, since it uses less digits than its factorization.

275315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 275315040 is about 16592.6200462736. The cubic root of 275315040 is about 650.5439549187.

The spelling of 275315040 in words is "two hundred seventy-five million, three hundred fifteen thousand, forty".