275975040 has 256 divisors, whose sum is σ = 978220800. Its totient is φ = 65617920.

The previous prime is 275975033. The next prime is 275975053. The reversal of 275975040 is 40579572.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 275975040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1541671 + ... + 1541849.

It is an arithmetic number, because the mean of its divisors is an integer number (3821175).

Almost surely, 2^275975040 is an apocalyptic number.

275975040 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 275975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489110400).

275975040 is an abundant number, since it is smaller than the sum of its proper divisors (702245760).

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

275975040 is a wasteful number, since it uses less digits than its factorization.

275975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 275975040 is about 16612.4965011283. The cubic root of 275975040 is about 651.0633797109.

The spelling of 275975040 in words is "two hundred seventy-five million, nine hundred seventy-five thousand, forty".