314204520 has 128 divisors (see below), whose sum is σ = 1134028800. Its totient is φ = 68034816.

The previous prime is 314204519. The next prime is 314204533. The reversal of 314204520 is 25402413.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 6117 + ... + 25803.

It is an arithmetic number, because the mean of its divisors is an integer number (8859600).

Almost surely, 2^314204520 is an apocalyptic number.

314204520 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 314204520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567014400).

314204520 is an abundant number, since it is smaller than the sum of its proper divisors (819824280).

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

314204520 is a wasteful number, since it uses less digits than its factorization.

314204520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19727 (or 19723 counting only the distinct ones).

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

The square root of 314204520 is about 17725.8150729381. The cubic root of 314204520 is about 679.8359754326.

Adding to 314204520 its reverse (25402413), we get a palindrome (339606933).

The spelling of 314204520 in words is "three hundred fourteen million, two hundred four thousand, five hundred twenty".