270254400 has 336 divisors, whose sum is σ = 984187008. Its totient is φ = 64512000.

The previous prime is 270254399. The next prime is 270254407. The reversal of 270254400 is 4452072.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270254407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3806365 + ... + 3806435.

It is an arithmetic number, because the mean of its divisors is an integer number (2929128).

Almost surely, 2^270254400 is an apocalyptic number.

270254400 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 270254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492093504).

270254400 is an abundant number, since it is smaller than the sum of its proper divisors (713932608).

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

270254400 is a wasteful number, since it uses less digits than its factorization.

270254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 270254400 is about 16439.4160480231. The cubic root of 270254400 is about 646.5333389114.

The spelling of 270254400 in words is "two hundred seventy million, two hundred fifty-four thousand, four hundred".