247968252 has 72 divisors (see below), whose sum is σ = 719194112. Its totient is φ = 70567200.

The previous prime is 247968247. The next prime is 247968263. The reversal of 247968252 is 252869742.

It is a super-2 number, since 2×247968252² = 122976507999871008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 247968198 and 247968207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66477 + ... + 70107.

Almost surely, 2^247968252 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 247968252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359597056).

247968252 is an abundant number, since it is smaller than the sum of its proper divisors (471225860).

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

247968252 is a wasteful number, since it uses less digits than its factorization.

247968252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3919 (or 3914 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 247968252 is about 15747.0077157535. The cubic root of 247968252 is about 628.2493195081.

The spelling of 247968252 in words is "two hundred forty-seven million, nine hundred sixty-eight thousand, two hundred fifty-two".