415927680 has 192 divisors, whose sum is σ = 1542570480. Its totient is φ = 95047680.

The previous prime is 415927679. The next prime is 415927703. The reversal of 415927680 is 86729514.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 91870 + ... + 96290.

Almost surely, 2^415927680 is an apocalyptic number.

415927680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771285240).

415927680 is an abundant number, since it is smaller than the sum of its proper divisors (1126642800).

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

415927680 is a wasteful number, since it uses less digits than its factorization.

415927680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4457 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 415927680 is about 20394.3050874503. The cubic root of 415927680 is about 746.4589700092.

The spelling of 415927680 in words is "four hundred fifteen million, nine hundred twenty-seven thousand, six hundred eighty".