314009010 has 192 divisors, whose sum is σ = 1010131200. Its totient is φ = 66064896.

The previous prime is 314009009. The next prime is 314009027. The reversal of 314009010 is 10900413.

It is a super-2 number, since 2×314009010² = 197203316722360200, which contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 442536 + ... + 443244.

It is an arithmetic number, because the mean of its divisors is an integer number (5261100).

Almost surely, 2^314009010 is an apocalyptic number.

314009010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314009010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505065600).

314009010 is an abundant number, since it is smaller than the sum of its proper divisors (696122190).

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

314009010 is a wasteful number, since it uses less digits than its factorization.

314009010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 314009010 is about 17720.2993767035. The cubic root of 314009010 is about 679.6949395777.

Adding to 314009010 its reverse (10900413), we get a palindrome (324909423).

The spelling of 314009010 in words is "three hundred fourteen million, nine thousand, ten".