253449216 has 176 divisors, whose sum is σ = 766396800. Its totient is φ = 82722816.

The previous prime is 253449193. The next prime is 253449221. The reversal of 253449216 is 612944352.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2460621 + ... + 2460723.

Almost surely, 2^253449216 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 253449216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383198400).

253449216 is an abundant number, since it is smaller than the sum of its proper divisors (512947584).

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

253449216 is a wasteful number, since it uses less digits than its factorization.

253449216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 197 counting only the distinct ones).

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

The square root of 253449216 is about 15920.0884419654. The cubic root of 253449216 is about 632.8444621332.

The spelling of 253449216 in words is "two hundred fifty-three million, four hundred forty-nine thousand, two hundred sixteen".