275253120 has 256 divisors, whose sum is σ = 1033300800. Its totient is φ = 69009408.

The previous prime is 275253119. The next prime is 275253151. The reversal of 275253120 is 21352572.

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

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, 293292 + ... + 294228.

Almost surely, 2^275253120 is an apocalyptic number.

275253120 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 275253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516650400).

275253120 is an abundant number, since it is smaller than the sum of its proper divisors (758047680).

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

275253120 is a wasteful number, since it uses less digits than its factorization.

275253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 964 counting only the distinct ones).

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

The square root of 275253120 is about 16590.7540515795. The cubic root of 275253120 is about 650.4951808526.

The spelling of 275253120 in words is "two hundred seventy-five million, two hundred fifty-three thousand, one hundred twenty".