415240896 has 336 divisors, whose sum is σ = 1417685760. Its totient is φ = 106444800.

The previous prime is 415240883. The next prime is 415240909. The reversal of 415240896 is 698042514.

It is an interprime number because it is at equal distance from previous prime (415240883) and next prime (415240909).

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4111246 + ... + 4111346.

Almost surely, 2^415240896 is an apocalyptic number.

415240896 is a gapful number since it is divisible by the number (46) 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 415240896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708842880).

415240896 is an abundant number, since it is smaller than the sum of its proper divisors (1002444864).

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

415240896 is a wasteful number, since it uses less digits than its factorization.

415240896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 415240896 is about 20377.4604894722. The cubic root of 415240896 is about 746.0478901278.

The spelling of 415240896 in words is "four hundred fifteen million, two hundred forty thousand, eight hundred ninety-six".