268152444 has 192 divisors, whose sum is σ = 837580800. Its totient is φ = 73483200.

The previous prime is 268152439. The next prime is 268152487. The reversal of 268152444 is 444251862.

268152444 is a `hidden beast` number, since 2 + 68 + 152 + 444 = 666.

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

Its product of digits (61440) is a multiple of the sum of its prime divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 268152399 and 268152408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1775769 + ... + 1775919.

It is an arithmetic number, because the mean of its divisors is an integer number (4362400).

Almost surely, 2^268152444 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 268152444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418790400).

268152444 is an abundant number, since it is smaller than the sum of its proper divisors (569428356).

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

268152444 is a wasteful number, since it uses less digits than its factorization.

268152444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 192 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 268152444 is about 16375.3608815195. The cubic root of 268152444 is about 644.8527949627.

The spelling of 268152444 in words is "two hundred sixty-eight million, one hundred fifty-two thousand, four hundred forty-four".