275432400 has 150 divisors (see below), whose sum is σ = 988621062. Its totient is φ = 73440000.

The previous prime is 275432389. The next prime is 275432407. The reversal of 275432400 is 4234572.

It can be written as a sum of positive squares in 3 ways, for example, as 5184 + 275427216 = 72^2 + 16596^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275432407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 28150 + ... + 36650.

Almost surely, 2^275432400 is an apocalyptic number.

275432400 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 275432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494310531).

275432400 is an abundant number, since it is smaller than the sum of its proper divisors (713188662).

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

275432400 is a wasteful number, since it uses less digits than its factorization.

275432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8531 (or 8511 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 275432400 is about 16596.1561814777. The cubic root of 275432400 is about 650.6363787262.

Adding to 275432400 its reverse (4234572), we get a palindrome (279666972).

The spelling of 275432400 in words is "two hundred seventy-five million, four hundred thirty-two thousand, four hundred".