240352000 has 288 divisors, whose sum is σ = 727009920. Its totient is φ = 77414400.

The previous prime is 240351973. The next prime is 240352039. The reversal of 240352000 is 253042.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6495982 + ... + 6496018.

It is an arithmetic number, because the mean of its divisors is an integer number (2524340).

Almost surely, 2^240352000 is an apocalyptic number.

240352000 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 240352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363504960).

240352000 is an abundant number, since it is smaller than the sum of its proper divisors (486657920).

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

240352000 is an equidigital number, since it uses as much as digits as its factorization.

240352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 240352000 is about 15503.2899734218. The cubic root of 240352000 is about 621.7501710678.

The spelling of 240352000 in words is "two hundred forty million, three hundred fifty-two thousand".