253504800 has 216 divisors, whose sum is σ = 903949956. Its totient is φ = 66846720.

The previous prime is 253504789. The next prime is 253504807. The reversal of 253504800 is 8405352.

It can be written as a sum of positive squares in 6 ways, for example, as 183548304 + 69956496 = 13548^2 + 8364^2 .

It is not an unprimeable number, because it can be changed into a prime (253504807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 986272 + ... + 986528.

Almost surely, 2^253504800 is an apocalyptic number.

253504800 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 253504800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451974978).

253504800 is an abundant number, since it is smaller than the sum of its proper divisors (650445156).

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

253504800 is a wasteful number, since it uses less digits than its factorization.

253504800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 253504800 is about 15921.8340652074. The cubic root of 253504800 is about 632.8907218350.

The spelling of 253504800 in words is "two hundred fifty-three million, five hundred four thousand, eight hundred".