253384320 has 256 divisors, whose sum is σ = 978220800. Its totient is φ = 54460416.

The previous prime is 253384319. The next prime is 253384321. The reversal of 253384320 is 23483352.

It is an interprime number because it is at equal distance from previous prime (253384319) and next prime (253384321).

It is a super-2 number, since 2×253384320² = 128407227243724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (253384321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227926 + ... + 229034.

It is an arithmetic number, because the mean of its divisors is an integer number (3821175).

Almost surely, 2^253384320 is an apocalyptic number.

253384320 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 253384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489110400).

253384320 is an abundant number, since it is smaller than the sum of its proper divisors (724836480).

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

253384320 is a wasteful number, since it uses less digits than its factorization.

253384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 253384320 is about 15918.0501318472. The cubic root of 253384320 is about 632.7904439744.

The spelling of 253384320 in words is "two hundred fifty-three million, three hundred eighty-four thousand, three hundred twenty".