415253320 has 32 divisors (see below), whose sum is σ = 966540600. Its totient is φ = 160373248.

The previous prime is 415253317. The next prime is 415253323. The reversal of 415253320 is 23352514.

It is an interprime number because it is at equal distance from previous prime (415253317) and next prime (415253323).

It can be written as a sum of positive squares in 4 ways, for example, as 340845444 + 74407876 = 18462^2 + 8626^2 .

It is not an unprimeable number, because it can be changed into a prime (415253323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177829 + ... + 180148.

Almost surely, 2^415253320 is an apocalyptic number.

415253320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415253320 is an abundant number, since it is smaller than the sum of its proper divisors (551287280).

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

415253320 is a wasteful number, since it uses less digits than its factorization.

415253320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358017 (or 358013 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 415253320 is about 20377.7653338142. The cubic root of 415253320 is about 746.0553306333.

The spelling of 415253320 in words is "four hundred fifteen million, two hundred fifty-three thousand, three hundred twenty".