417130080 has 48 divisors (see below), whose sum is σ = 1313961264. Its totient is φ = 111234560.

The previous prime is 417130067. The next prime is 417130097. The reversal of 417130080 is 80031714.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 417130080.

It is a congruent number.

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, 434031 + ... + 434990.

It is an arithmetic number, because the mean of its divisors is an integer number (27374193).

Almost surely, 2^417130080 is an apocalyptic number.

417130080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

417130080 is an abundant number, since it is smaller than the sum of its proper divisors (896831184).

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

417130080 is a wasteful number, since it uses less digits than its factorization.

417130080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869039 (or 869031 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 417130080 is about 20423.7626308181. The cubic root of 417130080 is about 747.1775875295.

Adding to 417130080 its reverse (80031714), we get a palindrome (497161794).

The spelling of 417130080 in words is "four hundred seventeen million, one hundred thirty thousand, eighty".