415242256 has 80 divisors (see below), whose sum is σ = 955438848. Its totient is φ = 172339200.

The previous prime is 415242251. The next prime is 415242259. The reversal of 415242256 is 652242514.

It is a super-2 number, since 2×415242256² = 344852262335939072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (415242251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221001 + ... + 222871.

Almost surely, 2^415242256 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 415242256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477719424).

415242256 is an abundant number, since it is smaller than the sum of its proper divisors (540196592).

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

415242256 is a wasteful number, since it uses less digits than its factorization.

415242256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1994 counting only the distinct ones).

The product of its digits is 19200, while the sum is 31.

The square root of 415242256 is about 20377.4938596482. The cubic root of 415242256 is about 746.0487046141.

The spelling of 415242256 in words is "four hundred fifteen million, two hundred forty-two thousand, two hundred fifty-six".