415791360 has 288 divisors, whose sum is σ = 1509943680. Its totient is φ = 108306432.

The previous prime is 415791359. The next prime is 415791361. The reversal of 415791360 is 63197514.

It is an interprime number because it is at equal distance from previous prime (415791359) and next prime (415791361).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (415791361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1831567 + ... + 1831793.

It is an arithmetic number, because the mean of its divisors is an integer number (5242860).

Almost surely, 2^415791360 is an apocalyptic number.

415791360 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 415791360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754971840).

415791360 is an abundant number, since it is smaller than the sum of its proper divisors (1094152320).

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

415791360 is a wasteful number, since it uses less digits than its factorization.

415791360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 415791360 is about 20390.9627041001. The cubic root of 415791360 is about 746.3774106334.

The spelling of 415791360 in words is "four hundred fifteen million, seven hundred ninety-one thousand, three hundred sixty".