414016520 has 16 divisors (see below), whose sum is σ = 931537260. Its totient is φ = 165606592.

The previous prime is 414016469. The next prime is 414016543. The reversal of 414016520 is 25610414.

It can be written as a sum of positive squares in 2 ways, for example, as 392911684 + 21104836 = 19822^2 + 4594^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5175167 + ... + 5175246.

Almost surely, 2^414016520 is an apocalyptic number.

414016520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414016520 is an abundant number, since it is smaller than the sum of its proper divisors (517520740).

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

414016520 is a wasteful number, since it uses less digits than its factorization.

414016520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10350424 (or 10350420 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 414016520 is about 20347.3959021787. The cubic root of 414016520 is about 745.3139046234.

Adding to 414016520 its reverse (25610414), we get a palindrome (439626934).

The spelling of 414016520 in words is "four hundred fourteen million, sixteen thousand, five hundred twenty".