415709316 has 144 divisors (see below), whose sum is σ = 1210023360. Its totient is φ = 119159040.

The previous prime is 415709309. The next prime is 415709317. The reversal of 415709316 is 613907514.

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 (415709317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 608311 + ... + 608993.

It is an arithmetic number, because the mean of its divisors is an integer number (8402940).

Almost surely, 2^415709316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415709316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605011680).

415709316 is an abundant number, since it is smaller than the sum of its proper divisors (794314044).

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

415709316 is a wasteful number, since it uses less digits than its factorization.

415709316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 781 counting only the distinct ones).

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

The square root of 415709316 is about 20388.9508312713. The cubic root of 415709316 is about 746.3283156447.

It can be divided in two parts, 415709 and 316, that added together give a square (416025 = 645²).

The spelling of 415709316 in words is "four hundred fifteen million, seven hundred nine thousand, three hundred sixteen".