417661480 has 32 divisors (see below), whose sum is σ = 972145800. Its totient is φ = 161303296.

The previous prime is 417661469. The next prime is 417661483. The reversal of 417661480 is 84166714.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 381733444 + 35928036 = 19538^2 + 5994^2 .

It is a super-2 number, since 2×417661480² = 348882223751580800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (417661483) 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, 178867 + ... + 181186.

Almost surely, 2^417661480 is an apocalyptic number.

417661480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

417661480 is an abundant number, since it is smaller than the sum of its proper divisors (554484320).

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

417661480 is a wasteful number, since it uses less digits than its factorization.

417661480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360093 (or 360089 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 417661480 is about 20436.7678462129. The cubic root of 417661480 is about 747.4947401411.

It can be divided in two parts, 4176 and 61480, that added together give a palindrome (65656).

The spelling of 417661480 in words is "four hundred seventeen million, six hundred sixty-one thousand, four hundred eighty".