413955080 has 64 divisors (see below), whose sum is σ = 1161233280. Its totient is φ = 129024000.

The previous prime is 413955079. The next prime is 413955097. The reversal of 413955080 is 80559314.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 413955080.

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 15 ways as a sum of consecutive naturals, for example, 64121 + ... + 70280.

It is an arithmetic number, because the mean of its divisors is an integer number (18144270).

Almost surely, 2^413955080 is an apocalyptic number.

413955080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413955080 is an abundant number, since it is smaller than the sum of its proper divisors (747278200).

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

413955080 is a wasteful number, since it uses less digits than its factorization.

413955080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134430 (or 134426 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 413955080 is about 20345.8860706532. The cubic root of 413955080 is about 745.2770346360.

The spelling of 413955080 in words is "four hundred thirteen million, nine hundred fifty-five thousand, eighty".