314146000 has 160 divisors (see below), whose sum is σ = 914584320. Its totient is φ = 101952000.

The previous prime is 314145973. The next prime is 314146013. The reversal of 314146000 is 641413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265410 + ... + 266590.

It is an arithmetic number, because the mean of its divisors is an integer number (5716152).

Almost surely, 2^314146000 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 314146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457292160).

314146000 is an abundant number, since it is smaller than the sum of its proper divisors (600438320).

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

314146000 is a wasteful number, since it uses less digits than its factorization.

314146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 314146000 is about 17724.1642962369. The cubic root of 314146000 is about 679.7937667555.

Adding to 314146000 its reverse (641413), we get a palindrome (314787413).

It can be divided in two parts, 3141 and 46000, that added together give a triangular number (49141 = T₃₁₃).

The spelling of 314146000 in words is "three hundred fourteen million, one hundred forty-six thousand".