320466240 has 224 divisors, whose sum is σ = 1170432000. Its totient is φ = 82446336.

The previous prime is 320466227. The next prime is 320466241. The reversal of 320466240 is 42664023.

320466240 is a `hidden beast` number, since 32 + 0 + 4 + 6 + 624 + 0 = 666.

It is a super-2 number, since 2×320466240² = 205397221959475200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320466241) by changing a digit.

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, 249921 + ... + 251199.

Almost surely, 2^320466240 is an apocalyptic number.

320466240 is a gapful number since it is divisible by the number (30) 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 320466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585216000).

320466240 is an abundant number, since it is smaller than the sum of its proper divisors (849965760).

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

320466240 is a wasteful number, since it uses less digits than its factorization.

320466240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 320466240 is about 17901.5708807914. The cubic root of 320466240 is about 684.3224087941.

The spelling of 320466240 in words is "three hundred twenty million, four hundred sixty-six thousand, two hundred forty".