413895680 has 88 divisors (see below), whose sum is σ = 1083272400. Its totient is φ = 150487040.

The previous prime is 413895661. The next prime is 413895733. The reversal of 413895680 is 86598314.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52646 + ... + 59994.

Almost surely, 2^413895680 is an apocalyptic number.

413895680 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 413895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541636200).

413895680 is an abundant number, since it is smaller than the sum of its proper divisors (669376720).

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

413895680 is a wasteful number, since it uses less digits than its factorization.

413895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7385 (or 7367 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 413895680 is about 20344.4262637215. The cubic root of 413895680 is about 745.2413853787.

The spelling of 413895680 in words is "four hundred thirteen million, eight hundred ninety-five thousand, six hundred eighty".