415567680 has 448 divisors, whose sum is σ = 1580083200. Its totient is φ = 91463680.

The previous prime is 415567673. The next prime is 415567687. The reversal of 415567680 is 86765514.

It is an interprime number because it is at equal distance from previous prime (415567673) and next prime (415567687).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415567687) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7043491 + ... + 7043549.

Almost surely, 2^415567680 is an apocalyptic number.

415567680 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 415567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790041600).

415567680 is an abundant number, since it is smaller than the sum of its proper divisors (1164515520).

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

415567680 is a wasteful number, since it uses less digits than its factorization.

415567680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 415567680 is about 20385.4771835245. The cubic root of 415567680 is about 746.2435457020.

The spelling of 415567680 in words is "four hundred fifteen million, five hundred sixty-seven thousand, six hundred eighty".