415613600 has 144 divisors (see below), whose sum is σ = 1098367200. Its totient is φ = 153031680.

The previous prime is 415613593. The next prime is 415613609. The reversal of 415613600 is 6316514.

It is a self number, because there is not a number n which added to its sum of digits gives 415613600.

It is not an unprimeable number, because it can be changed into a prime (415613609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 562031 + ... + 562769.

It is an arithmetic number, because the mean of its divisors is an integer number (7627550).

Almost surely, 2^415613600 is an apocalyptic number.

415613600 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 415613600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549183600).

415613600 is an abundant number, since it is smaller than the sum of its proper divisors (682753600).

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

415613600 is a wasteful number, since it uses less digits than its factorization.

415613600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 415613600 is about 20386.6034444191. The cubic root of 415613600 is about 746.2710311901.

The spelling of 415613600 in words is "four hundred fifteen million, six hundred thirteen thousand, six hundred".