268304400 has 675 divisors, whose sum is σ = 1212927111. Its totient is φ = 56609280.

The previous prime is 268304359. The next prime is 268304401. The reversal of 268304400 is 4403862.

268304400 = 78³ + 79³ + ... + 182³.

The square root of 268304400 is 16380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 69155856 + 199148544 = 8316^2 + 14112^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (268304401) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 20638794 + ... + 20638806.

Almost surely, 2^268304400 is an apocalyptic number.

268304400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

268304400 is the 16380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268304400

268304400 is an abundant number, since it is smaller than the sum of its proper divisors (944622711).

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

268304400 is a wasteful number, since it uses less digits than its factorization.

268304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The cubic root of 268304400 is about 644.9745798527.

The spelling of 268304400 in words is "two hundred sixty-eight million, three hundred four thousand, four hundred".