247133952 has 216 divisors, whose sum is σ = 791633024. Its totient is φ = 73654272.

The previous prime is 247133951. The next prime is 247133959. The reversal of 247133952 is 259331742.

It is a super-2 number, since 2×247133952² = 122150380462276608, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247133951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1108113 + ... + 1108335.

Almost surely, 2^247133952 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 247133952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395816512).

247133952 is an abundant number, since it is smaller than the sum of its proper divisors (544499072).

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

247133952 is a wasteful number, since it uses less digits than its factorization.

247133952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 278 counting only the distinct ones).

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

The square root of 247133952 is about 15720.4946487062. The cubic root of 247133952 is about 627.5439370726.

The spelling of 247133952 in words is "two hundred forty-seven million, one hundred thirty-three thousand, nine hundred fifty-two".