268904972 has 48 divisors (see below), whose sum is σ = 553926912. Its totient is φ = 111827520.

The previous prime is 268904971. The next prime is 268904981. The reversal of 268904972 is 279409862.

It is a super-3 number, since 3×268904972³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (268904971) 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, 207647 + ... + 208937.

It is an arithmetic number, because the mean of its divisors is an integer number (11540144).

Almost surely, 2^268904972 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 268904972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276963456).

268904972 is an abundant number, since it is smaller than the sum of its proper divisors (285021940).

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

268904972 is a wasteful number, since it uses less digits than its factorization.

268904972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 268904972 is about 16398.3222312528. The cubic root of 268904972 is about 645.4554578095.

The spelling of 268904972 in words is "two hundred sixty-eight million, nine hundred four thousand, nine hundred seventy-two".