415884640 has 48 divisors (see below), whose sum is σ = 1001086128. Its totient is φ = 163211776.

The previous prime is 415884589. The next prime is 415884649. The reversal of 415884640 is 46488514.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 415884593 and 415884602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415884649) 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 7 ways as a sum of consecutive naturals, for example, 16042 + ... + 33001.

It is an arithmetic number, because the mean of its divisors is an integer number (20855961).

Almost surely, 2^415884640 is an apocalyptic number.

415884640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415884640 is an abundant number, since it is smaller than the sum of its proper divisors (585201488).

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

415884640 is a wasteful number, since it uses less digits than its factorization.

415884640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49111 (or 49103 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 415884640 is about 20393.2498636191. The cubic root of 415884640 is about 746.4332213804.

The spelling of 415884640 in words is "four hundred fifteen million, eight hundred eighty-four thousand, six hundred forty".