268692480 has 528 divisors, whose sum is σ = 1149595200. Its totient is φ = 57802752.

The previous prime is 268692449. The next prime is 268692491. The reversal of 268692480 is 84296862.

268692480 is a `hidden beast` number, since 2 + 6 + 86 + 92 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15805432 + ... + 15805448.

Almost surely, 2^268692480 is an apocalyptic number.

268692480 is a gapful number since it is divisible by the number (20) 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 268692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574797600).

268692480 is an abundant number, since it is smaller than the sum of its proper divisors (880902720).

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

268692480 is a wasteful number, since it uses less digits than its factorization.

268692480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 268692480 is about 16391.8418733222. The cubic root of 268692480 is about 645.2853974062.

The spelling of 268692480 in words is "two hundred sixty-eight million, six hundred ninety-two thousand, four hundred eighty".