240952320 has 440 divisors, whose sum is σ = 998673984. Its totient is φ = 54411264.

The previous prime is 240952303. The next prime is 240952351. The reversal of 240952320 is 23259042.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2902999 + ... + 2903081.

Almost surely, 2^240952320 is an apocalyptic number.

240952320 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 240952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499336992).

240952320 is an abundant number, since it is smaller than the sum of its proper divisors (757721664).

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

240952320 is an equidigital number, since it uses as much as digits as its factorization.

240952320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 240952320 is about 15522.6389509001. The cubic root of 240952320 is about 622.2673829656.

The spelling of 240952320 in words is "two hundred forty million, nine hundred fifty-two thousand, three hundred twenty".