253938384 has 360 divisors, whose sum is σ = 917921160. Its totient is φ = 65028096.

The previous prime is 253938323. The next prime is 253938397. The reversal of 253938384 is 483839352.

253938384 is a `hidden beast` number, since 2 + 539 + 38 + 3 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 77792400 + 176145984 = 8820^2 + 13272^2 .

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 3478572 + ... + 3478644.

It is an arithmetic number, because the mean of its divisors is an integer number (2549781).

Almost surely, 2^253938384 is an apocalyptic number.

253938384 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 253938384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458960580).

253938384 is an abundant number, since it is smaller than the sum of its proper divisors (663982776).

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

253938384 is a wasteful number, since it uses less digits than its factorization.

253938384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 253938384 is about 15935.4442674185. Note that the first 3 decimals coincide. The cubic root of 253938384 is about 633.2513395853.

The spelling of 253938384 in words is "two hundred fifty-three million, nine hundred thirty-eight thousand, three hundred eighty-four".