253214208 has 160 divisors (see below), whose sum is σ = 807760800. Its totient is φ = 77856768.

The previous prime is 253214191. The next prime is 253214243. The reversal of 253214208 is 802412352.

253214208 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179008 + ... + 180416.

It is an arithmetic number, because the mean of its divisors is an integer number (5048505).

Almost surely, 2^253214208 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 253214208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403880400).

253214208 is an abundant number, since it is smaller than the sum of its proper divisors (554546592).

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

253214208 is a wasteful number, since it uses less digits than its factorization.

253214208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 253214208 is about 15912.7058666966. The cubic root of 253214208 is about 632.6488022889.

The spelling of 253214208 in words is "two hundred fifty-three million, two hundred fourteen thousand, two hundred eight".