415005600 has 216 divisors, whose sum is σ = 1428658560. Its totient is φ = 104624640.

The previous prime is 415005589. The next prime is 415005601. The reversal of 415005600 is 6500514.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (415005601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 866161 + ... + 866639.

It is an arithmetic number, because the mean of its divisors is an integer number (6614160).

Almost surely, 2^415005600 is an apocalyptic number.

415005600 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 415005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714329280).

415005600 is an abundant number, since it is smaller than the sum of its proper divisors (1013652960).

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

415005600 is a wasteful number, since it uses less digits than its factorization.

415005600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 415005600 is about 20371.6862335939. The cubic root of 415005600 is about 745.9069476424.

The spelling of 415005600 in words is "four hundred fifteen million, five thousand, six hundred".