247949856 has 192 divisors, whose sum is σ = 901877760. Its totient is φ = 64385280.

The previous prime is 247949843. The next prime is 247949869. The reversal of 247949856 is 658949742.

It is an interprime number because it is at equal distance from previous prime (247949843) and next prime (247949869).

It is a super-2 number, since 2×247949856² = 122958262180841472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64665 + ... + 68391.

It is an arithmetic number, because the mean of its divisors is an integer number (4697280).

Almost surely, 2^247949856 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 247949856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450938880).

247949856 is an abundant number, since it is smaller than the sum of its proper divisors (653927904).

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

247949856 is a wasteful number, since it uses less digits than its factorization.

247949856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764 (or 3750 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 247949856 is about 15746.4235939467. The cubic root of 247949856 is about 628.2337831640.

Adding to 247949856 its product of digits (4354560), we get a triangular number (252304416 = T₂₂₄₆₃).

The spelling of 247949856 in words is "two hundred forty-seven million, nine hundred forty-nine thousand, eight hundred fifty-six".