275973040 has 80 divisors (see below), whose sum is σ = 735577920. Its totient is φ = 94325760.

The previous prime is 275973023. The next prime is 275973041. The reversal of 275973040 is 40379572.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×275973040² = 152322237613683200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (275973041) 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 15 ways as a sum of consecutive naturals, for example, 257626 + ... + 258694.

It is an arithmetic number, because the mean of its divisors is an integer number (9194724).

Almost surely, 2^275973040 is an apocalyptic number.

275973040 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 275973040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367788960).

275973040 is an abundant number, since it is smaller than the sum of its proper divisors (459604880).

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

275973040 is a wasteful number, since it uses less digits than its factorization.

275973040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 275973040 is about 16612.4363053707. The cubic root of 275973040 is about 651.0618069480.

The spelling of 275973040 in words is "two hundred seventy-five million, nine hundred seventy-three thousand, forty".