247953312 has 108 divisors (see below), whose sum is σ = 732819906. Its totient is φ = 82581120.

The previous prime is 247953289. The next prime is 247953319. The reversal of 247953312 is 213359742.

It can be written as a sum of positive squares in only one way, i.e., 159668496 + 88284816 = 12636^2 + 9396^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×247953312² = 122961689863538688, which contains 22 as substring.

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 (247953319) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 209362 + ... + 210542.

Almost surely, 2^247953312 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 247953312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366409953).

247953312 is an abundant number, since it is smaller than the sum of its proper divisors (484866594).

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

247953312 is an frugal number, since it uses more digits than its factorization.

247953312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1186 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 247953312 is about 15746.5333327688. The cubic root of 247953312 is about 628.2367019878.

The spelling of 247953312 in words is "two hundred forty-seven million, nine hundred fifty-three thousand, three hundred twelve".