270734400 has 210 divisors, whose sum is σ = 995627930. Its totient is φ = 72161280.

The previous prime is 270734389. The next prime is 270734413. The reversal of 270734400 is 4437072.

It can be written as a sum of positive squares in 3 ways, for example, as 54997056 + 215737344 = 7416^2 + 14688^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 128556 + ... + 130644.

Almost surely, 2^270734400 is an apocalyptic number.

270734400 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 270734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497813965).

270734400 is an abundant number, since it is smaller than the sum of its proper divisors (724893530).

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

270734400 is a wasteful number, since it uses less digits than its factorization.

270734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 270734400 is about 16454.0086301181. The cubic root of 270734400 is about 646.9158827344.

The spelling of 270734400 in words is "two hundred seventy million, seven hundred thirty-four thousand, four hundred".