253308384 has 240 divisors, whose sum is σ = 889878528. Its totient is φ = 69113088.

The previous prime is 253308383. The next prime is 253308469. The reversal of 253308384 is 483803352.

253308384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253308383) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 417009 + ... + 417615.

Almost surely, 2^253308384 is an apocalyptic number.

253308384 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 253308384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444939264).

253308384 is an abundant number, since it is smaller than the sum of its proper divisors (636570144).

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

253308384 is a wasteful number, since it uses less digits than its factorization.

253308384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 253308384 is about 15915.6647363533. The cubic root of 253308384 is about 632.7272246244.

The spelling of 253308384 in words is "two hundred fifty-three million, three hundred eight thousand, three hundred eighty-four".