416575980 has 48 divisors (see below), whose sum is σ = 1296015840. Its totient is φ = 111086784.

The previous prime is 416575979. The next prime is 416576009. The reversal of 416575980 is 89575614.

416575980 is a `hidden beast` number, since 4 + 1 + 6 + 57 + 598 + 0 = 666.

It is a super-4 number, since 4×416575980⁴ (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385179 + ... + 386258.

It is an arithmetic number, because the mean of its divisors is an integer number (27000330).

Almost surely, 2^416575980 is an apocalyptic number.

It is an amenable number.

416575980 is an abundant number, since it is smaller than the sum of its proper divisors (879439860).

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

416575980 is a wasteful number, since it uses less digits than its factorization.

416575980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771455 (or 771447 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 416575980 is about 20410.1930417133. The cubic root of 416575980 is about 746.8466000067.

The spelling of 416575980 in words is "four hundred sixteen million, five hundred seventy-five thousand, nine hundred eighty".