275923440 has 240 divisors, whose sum is σ = 1023684480. Its totient is φ = 66170880.

The previous prime is 275923421. The next prime is 275923441. The reversal of 275923440 is 44329572.

275923440 is a `hidden beast` number, since 27 + 592 + 3 + 4 + 40 = 666.

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

It is a super-2 number, since 2×275923440² = 152267489482867200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 275923395 and 275923404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275923441) by changing a digit.

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, 383401 + ... + 384119.

It is an arithmetic number, because the mean of its divisors is an integer number (4265352).

Almost surely, 2^275923440 is an apocalyptic number.

275923440 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 275923440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511842240).

275923440 is an abundant number, since it is smaller than the sum of its proper divisors (747761040).

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

275923440 is a wasteful number, since it uses less digits than its factorization.

275923440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 275923440 is about 16610.9433807957. The cubic root of 275923440 is about 651.0227999971.

The spelling of 275923440 in words is "two hundred seventy-five million, nine hundred twenty-three thousand, four hundred forty".