415873680 has 80 divisors (see below), whose sum is σ = 1330819584. Its totient is φ = 107320320.

The previous prime is 415873631. The next prime is 415873687. The reversal of 415873680 is 86378514.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (415873687) 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 15 ways as a sum of consecutive naturals, for example, 20509 + ... + 35388.

Almost surely, 2^415873680 is an apocalyptic number.

415873680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415873680 is an abundant number, since it is smaller than the sum of its proper divisors (914945904).

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

415873680 is a wasteful number, since it uses less digits than its factorization.

415873680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55944 (or 55938 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 415873680 is about 20392.9811454824. The cubic root of 415873680 is about 746.4266642896.

The spelling of 415873680 in words is "four hundred fifteen million, eight hundred seventy-three thousand, six hundred eighty".