275870400 has 168 divisors, whose sum is σ = 974927184. Its totient is φ = 67891200.

The previous prime is 275870383. The next prime is 275870447. The reversal of 275870400 is 4078572.

It is a super-2 number, since 2×275870400² = 152208955192320000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 60190 + ... + 64610.

It is an arithmetic number, because the mean of its divisors is an integer number (5803138).

Almost surely, 2^275870400 is an apocalyptic number.

275870400 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 275870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487463592).

275870400 is an abundant number, since it is smaller than the sum of its proper divisors (699056784).

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

275870400 is a wasteful number, since it uses less digits than its factorization.

275870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4459 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 275870400 is about 16609.3467662037. The cubic root of 275870400 is about 650.9810825530.

The spelling of 275870400 in words is "two hundred seventy-five million, eight hundred seventy thousand, four hundred".