417379880 has 32 divisors (see below), whose sum is σ = 939832200. Its totient is φ = 166822656.

The previous prime is 417379871. The next prime is 417379883. The reversal of 417379880 is 88973714.

It can be written as a sum of positive squares in 4 ways, for example, as 252873604 + 164506276 = 15902^2 + 12826^2 .

It is a super-3 number, since 3×417379880³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (417379883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61286 + ... + 67754.

Almost surely, 2^417379880 is an apocalyptic number.

417379880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

417379880 is an abundant number, since it is smaller than the sum of its proper divisors (522452320).

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

417379880 is a wasteful number, since it uses less digits than its factorization.

417379880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8093 (or 8089 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 47.

The square root of 417379880 is about 20429.8771410892. The cubic root of 417379880 is about 747.3267078519.

The spelling of 417379880 in words is "four hundred seventeen million, three hundred seventy-nine thousand, eight hundred eighty".