275983440 has 240 divisors, whose sum is σ = 953831808. Its totient is φ = 65871872.

The previous prime is 275983429. The next prime is 275983451. The reversal of 275983440 is 44389572.

It is an interprime number because it is at equal distance from previous prime (275983429) and next prime (275983451).

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 275983392 and 275983401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1595194 + ... + 1595366.

Almost surely, 2^275983440 is an apocalyptic number.

275983440 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 275983440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476915904).

275983440 is an abundant number, since it is smaller than the sum of its proper divisors (677848368).

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

275983440 is a wasteful number, since it uses less digits than its factorization.

275983440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 275983440 is about 16612.7493209282. The cubic root of 275983440 is about 651.0699852321.

The spelling of 275983440 in words is "two hundred seventy-five million, nine hundred eighty-three thousand, four hundred forty".