415331004 has 96 divisors (see below), whose sum is σ = 1081092096. Its totient is φ = 123052480.

The previous prime is 415330997. The next prime is 415331039. The reversal of 415331004 is 400133514.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1829539 + ... + 1829765.

It is an arithmetic number, because the mean of its divisors is an integer number (11261376).

Almost surely, 2^415331004 is an apocalyptic number.

415331004 is a gapful number since it is divisible by the number (44) 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 415331004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540546048).

415331004 is an abundant number, since it is smaller than the sum of its proper divisors (665761092).

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

415331004 is a wasteful number, since it uses less digits than its factorization.

415331004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 415331004 is about 20379.6713418053. The cubic root of 415331004 is about 746.1018507901.

Adding to 415331004 its reverse (400133514), we get a palindrome (815464518).

The spelling of 415331004 in words is "four hundred fifteen million, three hundred thirty-one thousand, four".