415266642 has 64 divisors (see below), whose sum is σ = 1058150400. Its totient is φ = 118253520.

The previous prime is 415266629. The next prime is 415266647. The reversal of 415266642 is 246662514.

It is a junction number, because it is equal to n+sod(n) for n = 415266597 and 415266606.

It is not an unprimeable number, because it can be changed into a prime (415266647) 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 31 ways as a sum of consecutive naturals, for example, 123459 + ... + 126777.

It is an arithmetic number, because the mean of its divisors is an integer number (16533600).

Almost surely, 2^415266642 is an apocalyptic number.

415266642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 415266642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529075200).

415266642 is an abundant number, since it is smaller than the sum of its proper divisors (642883758).

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

415266642 is a wasteful number, since it uses less digits than its factorization.

415266642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668 (or 3662 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 415266642 is about 20378.0922070738. The cubic root of 415266642 is about 746.0633087697.

The spelling of 415266642 in words is "four hundred fifteen million, two hundred sixty-six thousand, six hundred forty-two".