314279000 has 256 divisors, whose sum is σ = 943488000. Its totient is φ = 95385600.

The previous prime is 314278967. The next prime is 314279033. The reversal of 314279000 is 972413.

It is an interprime number because it is at equal distance from previous prime (314278967) and next prime (314279033).

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 63 ways as a sum of consecutive naturals, for example, 2260931 + ... + 2261069.

It is an arithmetic number, because the mean of its divisors is an integer number (3685500).

Almost surely, 2^314279000 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 314279000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744000).

314279000 is an abundant number, since it is smaller than the sum of its proper divisors (629209000).

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

314279000 is a wasteful number, since it uses less digits than its factorization.

314279000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 314279000 is about 17727.9158391504. The cubic root of 314279000 is about 679.8896879881.

The spelling of 314279000 in words is "three hundred fourteen million, two hundred seventy-nine thousand".