247947264 has 224 divisors, whose sum is σ = 786384000. Its totient is φ = 76972032.

The previous prime is 247947263. The next prime is 247947281. The reversal of 247947264 is 462749742.

It is a super-2 number, since 2×247947264² = 122955691450171392, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247947263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4202467 + ... + 4202525.

Almost surely, 2^247947264 is an apocalyptic number.

247947264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247947264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393192000).

247947264 is an abundant number, since it is smaller than the sum of its proper divisors (538436736).

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

247947264 is an equidigital number, since it uses as much as digits as its factorization.

247947264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 83 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 247947264 is about 15746.3412893281. The cubic root of 247947264 is about 628.2315940283.

The spelling of 247947264 in words is "two hundred forty-seven million, nine hundred forty-seven thousand, two hundred sixty-four".