253282400 has 144 divisors (see below), whose sum is σ = 729953280. Its totient is φ = 83980800.

The previous prime is 253282399. The next prime is 253282409. The reversal of 253282400 is 4282352.

It is a self number, because there is not a number n which added to its sum of digits gives 253282400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253282409) 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 23 ways as a sum of consecutive naturals, for example, 172871 + ... + 174329.

It is an arithmetic number, because the mean of its divisors is an integer number (5069120).

Almost surely, 2^253282400 is an apocalyptic number.

253282400 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 253282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364976640).

253282400 is an abundant number, since it is smaller than the sum of its proper divisors (476670880).

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

253282400 is a wasteful number, since it uses less digits than its factorization.

253282400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 253282400 is about 15914.8484127245. The cubic root of 253282400 is about 632.7055891431.

The spelling of 253282400 in words is "two hundred fifty-three million, two hundred eighty-two thousand, four hundred".