253458216 has 144 divisors (see below), whose sum is σ = 771825600. Its totient is φ = 75049920.

The previous prime is 253458203. The next prime is 253458217. The reversal of 253458216 is 612854352.

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 (253458217) 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, 409155 + ... + 409773.

It is an arithmetic number, because the mean of its divisors is an integer number (5359900).

Almost surely, 2^253458216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253458216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385912800).

253458216 is an abundant number, since it is smaller than the sum of its proper divisors (518367384).

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

253458216 is a wasteful number, since it uses less digits than its factorization.

253458216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 682 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 253458216 is about 15920.3711012024. The cubic root of 253458216 is about 632.8519528288.

The spelling of 253458216 in words is "two hundred fifty-three million, four hundred fifty-eight thousand, two hundred sixteen".