415201320 has 48 divisors (see below), whose sum is σ = 1349405460. Its totient is φ = 110720256.

The previous prime is 415201291. The next prime is 415201351. The reversal of 415201320 is 23102514.

It can be written as a sum of positive squares in 2 ways, for example, as 354267684 + 60933636 = 18822^2 + 7806^2 .

It is a super-2 number, since 2×415201320² = 344784272259484800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 415201293 and 415201302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 576309 + ... + 577028.

Almost surely, 2^415201320 is an apocalyptic number.

415201320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415201320 is an abundant number, since it is smaller than the sum of its proper divisors (934204140).

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

415201320 is a wasteful number, since it uses less digits than its factorization.

415201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153354 (or 1153347 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 415201320 is about 20376.4893934161. The cubic root of 415201320 is about 746.0241877985.

Adding to 415201320 its reverse (23102514), we get a palindrome (438303834).

The spelling of 415201320 in words is "four hundred fifteen million, two hundred one thousand, three hundred twenty".