270468000 has 288 divisors, whose sum is σ = 1048686912. Its totient is φ = 65472000.

The previous prime is 270467987. The next prime is 270468013. The reversal of 270468000 is 864072.

It is an interprime number because it is at equal distance from previous prime (270467987) and next prime (270468013).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 395659 + ... + 396341.

It is an arithmetic number, because the mean of its divisors is an integer number (3641274).

Almost surely, 2^270468000 is an apocalyptic number.

270468000 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 270468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524343456).

270468000 is an abundant number, since it is smaller than the sum of its proper divisors (778218912).

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

270468000 is a wasteful number, since it uses less digits than its factorization.

270468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 270468000 is about 16445.9113459851. The cubic root of 270468000 is about 646.7036268007.

The spelling of 270468000 in words is "two hundred seventy million, four hundred sixty-eight thousand".