415697640 has 64 divisors (see below), whose sum is σ = 1261137600. Its totient is φ = 109604352.

The previous prime is 415697591. The next prime is 415697677. The reversal of 415697640 is 46796514.

It is a junction number, because it is equal to n+sod(n) for n = 415697592 and 415697601.

It is an unprimeable number.

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, 8782 + ... + 30141.

It is an arithmetic number, because the mean of its divisors is an integer number (19705275).

Almost surely, 2^415697640 is an apocalyptic number.

415697640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415697640 is an abundant number, since it is smaller than the sum of its proper divisors (845439960).

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

415697640 is a wasteful number, since it uses less digits than its factorization.

415697640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39026 (or 39022 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 415697640 is about 20388.6644977056. The cubic root of 415697640 is about 746.3213282213.

The spelling of 415697640 in words is "four hundred fifteen million, six hundred ninety-seven thousand, six hundred forty".