314304536 has 128 divisors (see below), whose sum is σ = 789196800. Its totient is φ = 113840640.

The previous prime is 314304533. The next prime is 314304539. The reversal of 314304536 is 635403413.

It is an interprime number because it is at equal distance from previous prime (314304533) and next prime (314304539).

It is a junction number, because it is equal to n+sod(n) for n = 314304499 and 314304508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314304533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428426 + ... + 429158.

It is an arithmetic number, because the mean of its divisors is an integer number (6165600).

Almost surely, 2^314304536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314304536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394598400).

314304536 is an abundant number, since it is smaller than the sum of its proper divisors (474892264).

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

314304536 is a wasteful number, since it uses less digits than its factorization.

314304536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 314304536 is about 17728.6360445467. The cubic root of 314304536 is about 679.9081017679.

Adding to 314304536 its reverse (635403413), we get a palindrome (949707949).

It can be divided in two parts, 31 and 4304536, that multiplied together give a triangular number (133440616 = T₁₆₃₃₆).

The spelling of 314304536 in words is "three hundred fourteen million, three hundred four thousand, five hundred thirty-six".