270601440 has 192 divisors, whose sum is σ = 901103616. Its totient is φ = 68124672.

The previous prime is 270601423. The next prime is 270601453. The reversal of 270601440 is 44106072.

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

It is a self number, because there is not a number n which added to its sum of digits gives 270601440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1401984 + ... + 1402176.

It is an arithmetic number, because the mean of its divisors is an integer number (4693248).

Almost surely, 2^270601440 is an apocalyptic number.

270601440 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 270601440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450551808).

270601440 is an abundant number, since it is smaller than the sum of its proper divisors (630502176).

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

270601440 is a wasteful number, since it uses less digits than its factorization.

270601440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 270601440 is about 16449.9677811235. The cubic root of 270601440 is about 646.8099634024.

The spelling of 270601440 in words is "two hundred seventy million, six hundred one thousand, four hundred forty".