417381480 has 48 divisors (see below), whose sum is σ = 1356490980. Its totient is φ = 111301632.

The previous prime is 417381443. The next prime is 417381487. The reversal of 417381480 is 84183714.

417381480 is a `hidden beast` number, since 4 + 173 + 8 + 1 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 401842116 + 15539364 = 20046^2 + 3942^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (417381487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 579337 + ... + 580056.

Almost surely, 2^417381480 is an apocalyptic number.

417381480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

417381480 is an abundant number, since it is smaller than the sum of its proper divisors (939109500).

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

417381480 is a wasteful number, since it uses less digits than its factorization.

417381480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159410 (or 1159403 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 417381480 is about 20429.9162993880. The cubic root of 417381480 is about 747.3276627943.

The spelling of 417381480 in words is "four hundred seventeen million, three hundred eighty-one thousand, four hundred eighty".