240776328 has 192 divisors, whose sum is σ = 711504000. Its totient is φ = 67651584.

The previous prime is 240776317. The next prime is 240776329. The reversal of 240776328 is 823677042.

240776328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240776329) 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, 2705308 + ... + 2705396.

It is an arithmetic number, because the mean of its divisors is an integer number (3705750).

Almost surely, 2^240776328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240776328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355752000).

240776328 is an abundant number, since it is smaller than the sum of its proper divisors (470727672).

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

240776328 is a wasteful number, since it uses less digits than its factorization.

240776328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 240776328 is about 15516.9690339319. The cubic root of 240776328 is about 622.1158443331.

The spelling of 240776328 in words is "two hundred forty million, seven hundred seventy-six thousand, three hundred twenty-eight".