314040000 has 140 divisors (see below), whose sum is σ = 1038686264. Its totient is φ = 83712000.

The previous prime is 314039989. The next prime is 314040011. The reversal of 314040000 is 40413.

It is an interprime number because it is at equal distance from previous prime (314039989) and next prime (314040011).

It is a super-2 number, since 2×314040000² = 197242243200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 118692 + ... + 121308.

Almost surely, 2^314040000 is an apocalyptic number.

314040000 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 314040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519343132).

314040000 is an abundant number, since it is smaller than the sum of its proper divisors (724646264).

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

314040000 is an equidigital number, since it uses as much as digits as its factorization.

314040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 314040000 is about 17721.1737760229. The cubic root of 314040000 is about 679.7172988653.

Adding to 314040000 its reverse (40413), we get a palindrome (314080413).

The spelling of 314040000 in words is "three hundred fourteen million, forty thousand".