314001000 has 192 divisors, whose sum is σ = 1073217600. Its totient is φ = 82800000.

The previous prime is 314000983. The next prime is 314001013. The reversal of 314001000 is 100413.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1250875 + ... + 1251125.

It is an arithmetic number, because the mean of its divisors is an integer number (5589675).

Almost surely, 2^314001000 is an apocalyptic number.

314001000 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 314001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536608800).

314001000 is an abundant number, since it is smaller than the sum of its proper divisors (759216600).

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

314001000 is a wasteful number, since it uses less digits than its factorization.

314001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 314001000 is about 17720.0733632793. The cubic root of 314001000 is about 679.6891601228.

Adding to 314001000 its reverse (100413), we get a palindrome (314101413).

It can be divided in two parts, 31400 and 1000, that added together give a square (32400 = 180²).

The spelling of 314001000 in words is "three hundred fourteen million, one thousand".