415597380 has 144 divisors (see below), whose sum is σ = 1305388224. Its totient is φ = 97943040.

The previous prime is 415597379. The next prime is 415597387. The reversal of 415597380 is 83795514.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (415597387) 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 47 ways as a sum of consecutive naturals, for example, 3812766 + ... + 3812874.

It is an arithmetic number, because the mean of its divisors is an integer number (9065196).

Almost surely, 2^415597380 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 415597380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652694112).

415597380 is an abundant number, since it is smaller than the sum of its proper divisors (889790844).

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

415597380 is a wasteful number, since it uses less digits than its factorization.

415597380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 415597380 is about 20386.2056302785. The cubic root of 415597380 is about 746.2613229149.

It can be divided in two parts, 415 and 597380, that added together give a palindrome (597795).

The spelling of 415597380 in words is "four hundred fifteen million, five hundred ninety-seven thousand, three hundred eighty".