415520000 has 270 divisors, whose sum is σ = 1228402098. Its totient is φ = 139776000.

The previous prime is 415519999. The next prime is 415520003. The reversal of 415520000 is 25514.

It can be written as a sum of positive squares in 5 ways, for example, as 118026496 + 297493504 = 10864^2 + 17248^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415520003) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7839974 + ... + 7840026.

Almost surely, 2^415520000 is an apocalyptic number.

415520000 is a gapful number since it is divisible by the number (40) 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 415520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614201049).

415520000 is an abundant number, since it is smaller than the sum of its proper divisors (812882098).

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

415520000 is an frugal number, since it uses more digits than its factorization.

415520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 415520000 is about 20384.3076899855. The cubic root of 415520000 is about 746.2150046205.

Adding to 415520000 its reverse (25514), we get a palindrome (415545514).

The spelling of 415520000 in words is "four hundred fifteen million, five hundred twenty thousand".