253616400 has 240 divisors, whose sum is σ = 942856320. Its totient is φ = 64627200.

The previous prime is 253616399. The next prime is 253616411. The reversal of 253616400 is 4616352.

253616400 is a `hidden beast` number, since 2 + 5 + 3 + 616 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247890 + ... + 248910.

It is an arithmetic number, because the mean of its divisors is an integer number (3928568).

Almost surely, 2^253616400 is an apocalyptic number.

253616400 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 253616400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471428160).

253616400 is an abundant number, since it is smaller than the sum of its proper divisors (689239920).

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

253616400 is a wasteful number, since it uses less digits than its factorization.

253616400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 253616400 is about 15925.3383009593. The cubic root of 253616400 is about 632.9835803562.

It can be divided in two parts, 253616 and 400, that added together give a square (254016 = 504²).

The spelling of 253616400 in words is "two hundred fifty-three million, six hundred sixteen thousand, four hundred".