415200000 has 216 divisors, whose sum is σ = 1389192336. Its totient is φ = 110080000.

The previous prime is 415199999. The next prime is 415200011. The reversal of 415200000 is 2514.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2399914 + ... + 2400086.

It is an arithmetic number, because the mean of its divisors is an integer number (6431446).

Almost surely, 2^415200000 is an apocalyptic number.

415200000 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 415200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694596168).

415200000 is an abundant number, since it is smaller than the sum of its proper divisors (973992336).

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

415200000 is an frugal number, since it uses more digits than its factorization.

415200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 415200000 is about 20376.4570031200. The cubic root of 415200000 is about 746.0233972158.

Adding to 415200000 its reverse (2514), we get a palindrome (415202514).

The spelling of 415200000 in words is "four hundred fifteen million, two hundred thousand".