314440500 has 384 divisors, whose sum is σ = 1132185600. Its totient is φ = 66816000.

The previous prime is 314440499. The next prime is 314440507. The reversal of 314440500 is 5044413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314440507) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5329471 + ... + 5329529.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2^314440500 is an apocalyptic number.

314440500 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 314440500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566092800).

314440500 is an abundant number, since it is smaller than the sum of its proper divisors (817745100).

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

314440500 is a wasteful number, since it uses less digits than its factorization.

314440500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 314440500 is about 17732.4702170905. The cubic root of 314440500 is about 680.0061273958.

Adding to 314440500 its reverse (5044413), we get a palindrome (319484913).

The spelling of 314440500 in words is "three hundred fourteen million, four hundred forty thousand, five hundred".