247972224 has 128 divisors (see below), whose sum is σ = 699540480. Its totient is φ = 77690880.

The previous prime is 247972163. The next prime is 247972267. The reversal of 247972224 is 422279742.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×247972224² = 122980447751012352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440167 + ... + 440729.

It is an arithmetic number, because the mean of its divisors is an integer number (5465160).

Almost surely, 2^247972224 is an apocalyptic number.

247972224 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 247972224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349770240).

247972224 is an abundant number, since it is smaller than the sum of its proper divisors (451568256).

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

247972224 is a wasteful number, since it uses less digits than its factorization.

247972224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 636 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 247972224 is about 15747.1338344475. The cubic root of 247972224 is about 628.2526739603.

The spelling of 247972224 in words is "two hundred forty-seven million, nine hundred seventy-two thousand, two hundred twenty-four".