417124880 has 20 divisors (see below), whose sum is σ = 969815532. Its totient is φ = 166849920.

The previous prime is 417124861. The next prime is 417124889. The reversal of 417124880 is 88421714.

It can be written as a sum of positive squares in 2 ways, for example, as 44943616 + 372181264 = 6704^2 + 19292^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 417124880.

It is not an unprimeable number, because it can be changed into a prime (417124889) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2606951 + ... + 2607110.

Almost surely, 2^417124880 is an apocalyptic number.

417124880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

417124880 is an abundant number, since it is smaller than the sum of its proper divisors (552690652).

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

417124880 is a wasteful number, since it uses less digits than its factorization.

417124880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5214074 (or 5214068 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 417124880 is about 20423.6353277275. The cubic root of 417124880 is about 747.1744827110.

The spelling of 417124880 in words is "four hundred seventeen million, one hundred twenty-four thousand, eight hundred eighty".