275952000 has 128 divisors (see below), whose sum is σ = 914940000. Its totient is φ = 73574400.

The previous prime is 275951971. The next prime is 275952011. The reversal of 275952000 is 259572.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×275952000² = 152299012608000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45126 + ... + 50874.

Almost surely, 2^275952000 is an apocalyptic number.

275952000 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 275952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457470000).

275952000 is an abundant number, since it is smaller than the sum of its proper divisors (638988000).

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

275952000 is an equidigital number, since it uses as much as digits as its factorization.

275952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5781 (or 5759 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 275952000 is about 16611.8030327836. The cubic root of 275952000 is about 651.0452610219.

The spelling of 275952000 in words is "two hundred seventy-five million, nine hundred fifty-two thousand".