275063040 has 360 divisors, whose sum is σ = 1127797440. Its totient is φ = 62705664.

The previous prime is 275063039. The next prime is 275063053. The reversal of 275063040 is 40360572.

It is a happy number.

275063040 is a `hidden beast` number, since 27 + 5 + 0 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 275062995 and 275063013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 725571 + ... + 725949.

Almost surely, 2^275063040 is an apocalyptic number.

275063040 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 275063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563898720).

275063040 is an abundant number, since it is smaller than the sum of its proper divisors (852734400).

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

275063040 is an equidigital number, since it uses as much as digits as its factorization.

275063040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 275063040 is about 16585.0245703767. The cubic root of 275063040 is about 650.3454101049.

The spelling of 275063040 in words is "two hundred seventy-five million, sixty-three thousand, forty".