314055000 has 240 divisors, whose sum is σ = 1215923280. Its totient is φ = 71712000.

The previous prime is 314054989. The next prime is 314055013. The reversal of 314055000 is 550413.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 314502 + ... + 315498.

It is an arithmetic number, because the mean of its divisors is an integer number (5066347).

Almost surely, 2^314055000 is an apocalyptic number.

314055000 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 314055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607961640).

314055000 is an abundant number, since it is smaller than the sum of its proper divisors (901868280).

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

314055000 is a wasteful number, since it uses less digits than its factorization.

314055000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 314055000 is about 17721.5969934992. The cubic root of 314055000 is about 679.7281208382.

The spelling of 314055000 in words is "three hundred fourteen million, fifty-five thousand".