314421520 has 80 divisors (see below), whose sum is σ = 842231808. Its totient is φ = 106928640.

The previous prime is 314421491. The next prime is 314421521. The reversal of 314421520 is 25124413.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×314421520² = 197721784478220800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314421491 and 314421500.

It is not an unprimeable number, because it can be changed into a prime (314421521) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 68910 + ... + 73330.

Almost surely, 2^314421520 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 314421520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421115904).

314421520 is an abundant number, since it is smaller than the sum of its proper divisors (527810288).

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

314421520 is a wasteful number, since it uses less digits than its factorization.

314421520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4568 (or 4562 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 314421520 is about 17731.9350325902. The cubic root of 314421520 is about 679.9924451294.

Adding to 314421520 its reverse (25124413), we get a palindrome (339545933).

The spelling of 314421520 in words is "three hundred fourteen million, four hundred twenty-one thousand, five hundred twenty".