253203984 has 120 divisors (see below), whose sum is σ = 818599392. Its totient is φ = 72207360.

The previous prime is 253203983. The next prime is 253203989. The reversal of 253203984 is 489302352.

253203984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×253203984² = 128224515026944512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (253203983) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 22227 + ... + 31629.

Almost surely, 2^253203984 is an apocalyptic number.

253203984 is a gapful number since it is divisible by the number (24) 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 253203984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409299696).

253203984 is an abundant number, since it is smaller than the sum of its proper divisors (565395408).

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

253203984 is a wasteful number, since it uses less digits than its factorization.

253203984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9445 (or 9436 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 253203984 is about 15912.3846107364. The cubic root of 253203984 is about 632.6402873791.

The spelling of 253203984 in words is "two hundred fifty-three million, two hundred three thousand, nine hundred eighty-four".