253722816 has 84 divisors (see below), whose sum is σ = 732713800. Its totient is φ = 83939328.

The previous prime is 253722809. The next prime is 253722823. The reversal of 253722816 is 618227352.

253722816 is a `hidden beast` number, since 2 + 5 + 372 + 281 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (253722809) and next prime (253722823).

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

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78480 + ... + 81648.

Almost surely, 2^253722816 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 253722816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366356900).

253722816 is an abundant number, since it is smaller than the sum of its proper divisors (478990984).

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

253722816 is a wasteful number, since it uses less digits than its factorization.

253722816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3326 (or 3313 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 253722816 is about 15928.6790412765. The cubic root of 253722816 is about 633.0721000808.

The spelling of 253722816 in words is "two hundred fifty-three million, seven hundred twenty-two thousand, eight hundred sixteen".