415407288 has 64 divisors (see below), whose sum is σ = 1075029120. Its totient is φ = 133660800.

The previous prime is 415407287. The next prime is 415407329. The reversal of 415407288 is 882704514.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415407287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114543 + ... + 118113.

It is an arithmetic number, because the mean of its divisors is an integer number (16797330).

Almost surely, 2^415407288 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 415407288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537514560).

415407288 is an abundant number, since it is smaller than the sum of its proper divisors (659621832).

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

415407288 is a wasteful number, since it uses less digits than its factorization.

415407288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 415407288 is about 20381.5428267833. The cubic root of 415407288 is about 746.1475269286.

It can be divided in two parts, 41540 and 7288, that added together give a triangular number (48828 = T₃₁₂).

The spelling of 415407288 in words is "four hundred fifteen million, four hundred seven thousand, two hundred eighty-eight".