240427320 has 192 divisors, whose sum is σ = 866764800. Its totient is φ = 53141760.

The previous prime is 240427309. The next prime is 240427333. The reversal of 240427320 is 23724042.

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

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, 181621 + ... + 182939.

It is an arithmetic number, because the mean of its divisors is an integer number (4514400).

Almost surely, 2^240427320 is an apocalyptic number.

240427320 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 240427320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433382400).

240427320 is an abundant number, since it is smaller than the sum of its proper divisors (626337480).

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

240427320 is a wasteful number, since it uses less digits than its factorization.

240427320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 240427320 is about 15505.7189449571. The cubic root of 240427320 is about 621.8151110058.

The spelling of 240427320 in words is "two hundred forty million, four hundred twenty-seven thousand, three hundred twenty".