415976480 has 48 divisors (see below), whose sum is σ = 984057984. Its totient is φ = 166168320.

The previous prime is 415976467. The next prime is 415976501. The reversal of 415976480 is 84679514.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173369 + ... + 175751.

It is an arithmetic number, because the mean of its divisors is an integer number (20501208).

Almost surely, 2^415976480 is an apocalyptic number.

415976480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415976480 is an abundant number, since it is smaller than the sum of its proper divisors (568081504).

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

415976480 is a wasteful number, since it uses less digits than its factorization.

415976480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3489 (or 3481 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 415976480 is about 20395.5014647838. The cubic root of 415976480 is about 746.4881624024.

The spelling of 415976480 in words is "four hundred fifteen million, nine hundred seventy-six thousand, four hundred eighty".