247985144 has 48 divisors (see below), whose sum is σ = 513688560. Its totient is φ = 112147200.

The previous prime is 247985123. The next prime is 247985183. The reversal of 247985144 is 441589742.

247985144 = T₁₇₅ + T₁₇₆ + ... + T₁₁₄₂.

It is a super-2 number, since 2×247985144² = 122993263289401472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 247985095 and 247985104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232757 + ... + 233819.

It is an arithmetic number, because the mean of its divisors is an integer number (10701845).

Almost surely, 2^247985144 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 247985144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256844280).

247985144 is an abundant number, since it is smaller than the sum of its proper divisors (265703416).

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

247985144 is a wasteful number, since it uses less digits than its factorization.

247985144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1317 counting only the distinct ones).

The product of its digits is 322560, while the sum is 44.

The square root of 247985144 is about 15747.5440624880. The cubic root of 247985144 is about 628.2635849721.

The spelling of 247985144 in words is "two hundred forty-seven million, nine hundred eighty-five thousand, one hundred forty-four".