415360000 has 220 divisors, whose sum is σ = 1151069040. Its totient is φ = 148480000.

The previous prime is 415359947. The next prime is 415360027. The reversal of 415360000 is 63514.

It is a tau number, because it is divible by the number of its divisors (220).

It is a self number, because there is not a number n which added to its sum of digits gives 415360000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7039971 + ... + 7040029.

It is an arithmetic number, because the mean of its divisors is an integer number (5232132).

Almost surely, 2^415360000 is an apocalyptic number.

415360000 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 415360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575534520).

415360000 is an abundant number, since it is smaller than the sum of its proper divisors (735709040).

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

415360000 is an equidigital number, since it uses as much as digits as its factorization.

415360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 415360000 is about 20380.3827245712. The cubic root of 415360000 is about 746.1192132196.

The spelling of 415360000 in words is "four hundred fifteen million, three hundred sixty thousand".