314025000 has 192 divisors, whose sum is σ = 1012435200. Its totient is φ = 81120000.

The previous prime is 314024999. The next prime is 314025017. The reversal of 314025000 is 520413.

It is a super-2 number, since 2×314025000² = 197223401250000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 47 ways as a sum of consecutive naturals, for example, 3974961 + ... + 3975039.

It is an arithmetic number, because the mean of its divisors is an integer number (5273100).

Almost surely, 2^314025000 is an apocalyptic number.

314025000 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 314025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506217600).

314025000 is an abundant number, since it is smaller than the sum of its proper divisors (698410200).

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

314025000 is an equidigital number, since it uses as much as digits as its factorization.

314025000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 314025000 is about 17720.7505484390. The cubic root of 314025000 is about 679.7064765477.

Adding to 314025000 its reverse (520413), we get a palindrome (314545413).

The spelling of 314025000 in words is "three hundred fourteen million, twenty-five thousand".