275742400 has 168 divisors, whose sum is σ = 725667840. Its totient is φ = 102896640.

The previous prime is 275742361. The next prime is 275742407. The reversal of 275742400 is 4247572.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275742407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2171137 + ... + 2171263.

Almost surely, 2^275742400 is an apocalyptic number.

275742400 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 275742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362833920).

275742400 is an abundant number, since it is smaller than the sum of its proper divisors (449925440).

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

275742400 is a wasteful number, since it uses less digits than its factorization.

275742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 31.

The square root of 275742400 is about 16605.4930670546. The cubic root of 275742400 is about 650.8803849438.

Adding to 275742400 its reverse (4247572), we get a palindrome (279989972).

The spelling of 275742400 in words is "two hundred seventy-five million, seven hundred forty-two thousand, four hundred".