415096448 has 96 divisors (see below), whose sum is σ = 925833600. Its totient is φ = 185103360.

The previous prime is 415096427. The next prime is 415096453. The reversal of 415096448 is 844690514.

It is a super-2 number, since 2×415096448² = 344610122284433408, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 670283 + ... + 670901.

It is an arithmetic number, because the mean of its divisors is an integer number (9644100).

Almost surely, 2^415096448 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 415096448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462916800).

415096448 is an abundant number, since it is smaller than the sum of its proper divisors (510737152).

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

415096448 is a wasteful number, since it uses less digits than its factorization.

415096448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 415096448 is about 20373.9158729980. The cubic root of 415096448 is about 745.9613719765.

The spelling of 415096448 in words is "four hundred fifteen million, ninety-six thousand, four hundred forty-eight".