314445040 has 160 divisors (see below), whose sum is σ = 919941120. Its totient is φ = 97293312.

The previous prime is 314445037. The next prime is 314445049. The reversal of 314445040 is 40544413.

314445040 = T₁₁₆ + T₁₁₇ + ... + T₁₂₃₅.

It is a junction number, because it is equal to n+sod(n) for n = 314444996 and 314445014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314445049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341701 + ... + 342619.

It is an arithmetic number, because the mean of its divisors is an integer number (5749632).

Almost surely, 2^314445040 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 314445040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459970560).

314445040 is an abundant number, since it is smaller than the sum of its proper divisors (605496080).

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

314445040 is a wasteful number, since it uses less digits than its factorization.

314445040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 314445040 is about 17732.5982303779. The cubic root of 314445040 is about 680.0094001007.

Adding to 314445040 its reverse (40544413), we get a palindrome (354989453).

It can be divided in two parts, 3144 and 45040, that added together give a palindrome (48184).

The spelling of 314445040 in words is "three hundred fourteen million, four hundred forty-five thousand, forty".