415042600 has 96 divisors (see below), whose sum is σ = 1115553600. Its totient is φ = 140659200.

The previous prime is 415042583. The next prime is 415042603. The reversal of 415042600 is 6240514.

It is not an unprimeable number, because it can be changed into a prime (415042603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122935 + ... + 126265.

It is an arithmetic number, because the mean of its divisors is an integer number (11620350).

Almost surely, 2^415042600 is an apocalyptic number.

415042600 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 415042600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557776800).

415042600 is an abundant number, since it is smaller than the sum of its proper divisors (700511000).

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

415042600 is a wasteful number, since it uses less digits than its factorization.

415042600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3443 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 415042600 is about 20372.5943365100. The cubic root of 415042600 is about 745.9291142003.

The spelling of 415042600 in words is "four hundred fifteen million, forty-two thousand, six hundred".