314406144 has 144 divisors (see below), whose sum is σ = 1001560000. Its totient is φ = 96712704.

The previous prime is 314406137. The next prime is 314406151. The reversal of 314406144 is 441604413.

314406144 is a `hidden beast` number, since 3 + 1 + 4 + 40 + 614 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (314406137) and next prime (314406151).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 88107 + ... + 91605.

Almost surely, 2^314406144 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 314406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500780000).

314406144 is an abundant number, since it is smaller than the sum of its proper divisors (687153856).

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

314406144 is a wasteful number, since it uses less digits than its factorization.

314406144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537 (or 3517 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 314406144 is about 17731.5014592673. The cubic root of 314406144 is about 679.9813605041.

The spelling of 314406144 in words is "three hundred fourteen million, four hundred six thousand, one hundred forty-four".