266342400 has 351 divisors, whose sum is σ = 1013398711. Its totient is φ = 66846720.

The previous prime is 266342393. The next prime is 266342411. The reversal of 266342400 is 4243662.

The square root of 266342400 is 16320.

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

266342400 is a `hidden beast` number, since 2 + 6 + 634 + 24 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6230016 + 260112384 = 2496^2 + 16128^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15667192 + ... + 15667208.

Almost surely, 2^266342400 is an apocalyptic number.

266342400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

266342400 is the 16320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266342400

266342400 is an abundant number, since it is smaller than the sum of its proper divisors (747056311).

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

266342400 is a wasteful number, since it uses less digits than its factorization.

266342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The cubic root of 266342400 is about 643.3985872284.

The spelling of 266342400 in words is "two hundred sixty-six million, three hundred forty-two thousand, four hundred".