253210400 has 72 divisors (see below), whose sum is σ = 623842884. Its totient is φ = 100352000.

The previous prime is 253210369. The next prime is 253210421. The reversal of 253210400 is 4012352.

It can be written as a sum of positive squares in 6 ways, for example, as 25441936 + 227768464 = 5044^2 + 15092^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89000 + ... + 91800.

Almost surely, 2^253210400 is an apocalyptic number.

253210400 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 253210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311921442).

253210400 is an abundant number, since it is smaller than the sum of its proper divisors (370632484).

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

253210400 is a wasteful number, since it uses less digits than its factorization.

253210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 253210400 is about 15912.5862134349. The cubic root of 253210400 is about 632.6456308782.

Adding to 253210400 its reverse (4012352), we get a palindrome (257222752).

The spelling of 253210400 in words is "two hundred fifty-three million, two hundred ten thousand, four hundred".