314400240 has 480 divisors, whose sum is σ = 1353770496. Its totient is φ = 63498240.

The previous prime is 314400217. The next prime is 314400241. The reversal of 314400240 is 42004413.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314400241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2938267 + ... + 2938373.

Almost surely, 2^314400240 is an apocalyptic number.

314400240 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 314400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676885248).

314400240 is an abundant number, since it is smaller than the sum of its proper divisors (1039370256).

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

314400240 is a wasteful number, since it uses less digits than its factorization.

314400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 314400240 is about 17731.3349751224. The cubic root of 314400240 is about 679.9771041887.

Adding to 314400240 its reverse (42004413), we get a palindrome (356404653).

The spelling of 314400240 in words is "three hundred fourteen million, four hundred thousand, two hundred forty".